Solve:
x + y = 7
3x - 2y = 11

By using Substituting method.​

Answers

Answer 1

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\sf \longmapsto x + y = 7 \: \: - - - (i)[/tex]

[tex]\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)[/tex]

By first equation,

[tex]\sf \longmapsto x + y = 7[/tex]

[tex]\sf \longmapsto x = 7 - y[/tex]

Now, we can find the original value of y.

[tex]\sf \longmapsto 3x - 2y = 11[/tex]

[tex]\sf \longmapsto 3(7 - y) - 2y = 11[/tex]

[tex]\sf \longmapsto 21 - 3y - 2y = 11[/tex]

[tex]\sf \longmapsto 21 - 5y = 11[/tex]

[tex]\sf \longmapsto - 5y = 11 - 21[/tex]

[tex]\sf \longmapsto - 5y = - 10[/tex]

[tex]\sf \longmapsto y = \dfrac{ - 10}{ - 5} [/tex]

[tex]\sf \longmapsto y = 2[/tex]

Now, we can find the original value of x.

[tex]\sf \longmapsto x + y = 7[/tex]

[tex]\sf \longmapsto x + 2 = 7[/tex]

[tex]\sf \longmapsto x = 7 - 2[/tex]

[tex]\sf \longmapsto x = 5[/tex]

Therefore, the values of x and y are 5 and 2 respectively.


Related Questions

Solve to find X. 1/5(x - 2) = 1/10 (x + 6)

Answers

Answer:

x = 10

Step-by-step explanation:

First, distribute:

[tex]\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}[/tex]

Next, subtract [tex]\frac{1}{5}x[/tex] from both sides:

[tex]-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}[/tex]

(multiply [tex]\frac{1}{5}x[/tex] by 2 to get common denominator, [tex]\frac{2}{10} x[/tex] )

[tex]-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}[/tex]

Next, subtract [tex]\frac{6}{10}[/tex] from both sides:

[tex]-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x[/tex]

(multiply [tex]\frac{2}{5}[/tex] by 2 to get common denominator, [tex]\frac{4}{10}[/tex] )

[tex]-\frac{10}{10} =-\frac{1}{10} x[/tex] ⇒ [tex]-1=-\frac{1}{10} x[/tex]

Next, multiply both sides by 10:

[tex]-10=-x[/tex]

FInally, divide both sides by -1:

x = 10

Answer:

Step-by-step explanation:

1/5(x-2) =1/10(x+6)

1/5x-2 = 1/10x+0.6

1/5x+1/10x= 0.6-2

0.2x+0.1x= -1.4

0.3x= -1.4

x= -4.67

x= -4.7

x= -5

A game you wanted was discounted 45% and now costs $26.29 what did the game cost before the discount

Answers

Answer: I think its $58.4

can someone help me?​

Answers

Step-by-step explanation:

a)

a whole circle represents always 360 degrees.

we see the angle J is 72 degrees. the angle K is 90 degrees.

that leaves us for M and L together :

360 - 72 - 90 = 198 degrees.

we now know that twice as many people voted for L as for M. that means the angle L is twice as big as the angle M

on other words : L = 2M

and when we now say

198 = L + M

this means

198 = 2M + M = 3M

M = 66 degrees

and L is then 2M = 2×66 = 132 degrees

b)

again, the whole circle is 360 degrees.

J covers 72 of these 360 degrees.

that is 72/360 of all voting people.

72/360 = 1/5

the total of all voting people was 15840.

so, 1/5 of 15840 is

15840/5 = 3168

that means 3168 people voted for J.

write four times the sum of a number and one-fourth is less than or equal to nine more the product of two and the number as an inequality

Answers

Answer:

4(x + 1/4) ≤ 9 + 2x

Step-by-step explanation:

Tu
Miguel measured the town library and made a scale drawing. The scale he used was
1 millimeter : 7 meters. The parking lot is 7 millimeters long in the drawing. How long is the
actual parking lot?

Answers

Answer:

The parking lot is actually 49 meters.

factorizar de ambas formas a cada número.
(por favor, ayudaa llevó más de dos horas con esto ....)

25
48
52
33
46

Answers

25 = 5 x 5
48 = 6 x 8 = 2 x 3 x 2 x 2 x 2
52 = 4 x 13 = 2 x 2 x 13
33 = 3 x 11
46 = 2 x 23

help ill give brainly

Answers

Answer:

The answer would be 26%

Step-by-step explanation:

Answer:27  

i think that 27 is the answer

Need help pls pls pls asap pls

Answers

Answer:

C(h) = 1+.25h

Step-by-step explanation:

Total cost = flat fee plus .25 times h  ( where h is the number of hours)

C(h) = 1+.25h

Which division sentence is represented by the model?


Number Line




6÷69=9

19÷6=23

19÷23=6

Answers

The modal represent the division is 6 ÷ 6/9 = 9.

What is division?

One of the most fundamental operations in arithmetic is division, in which a larger number is divided into smaller groups with the same number of items. Dividing a large group into smaller groups so that each group has the same number of items is called division. In math, it is an operation that equalizes sharing and grouping.

Given the number line in figure,

shows the number is divided in 9 equal parts

1/9, 2/9, 3/9, ..........9/9

and from 0 to 6/9 parts are marked,

there are 6 parts in 0 to 6/9

the division model for equation is

6 ÷ 6/9

and division is 6 ÷ 6/9 = 9

Hence the division sentence is represented by the model is 6 ÷ 6/9 = 9.

Learn more about division;

https://brainly.com/question/2273245

#SPJ5

The question is incomplete, complete question is attested in image

What is the difference in the account balances shown below? Behrooz: (-$21.00) Cody: $3.00

Answers

Answer:

-7

Step-by-step explanation:

-21.00/3.00

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

Answer:

76 and 19 are the answers

Solve the equation
[tex] \frac{1}{x} + \frac{1}{3x} = 4[/tex]
CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+35POINTS

thanks xx)​

Answers

pasensya naka limutan kona

pls help fast no randoms

Answers

Answer:

A, D, E

Step-by-step explanation:

Those are your surds because when you square root them they stay in the radical

Answer:

hla shougi

Step-by-step explanation:

Round 848704to the nearest thousand

Answers

Answer:

849000

Step-by-step explanation:

I used a site called Rounding to the Nearest Thousand Calculator. Sorry Brainly doesn't allow links:))) Happy Halloween!!

[tex]\sf 15=2x-9[/tex]

Answers

Answer:

x=12

Step by step explanation:

Step by step explanation:Add 9 to both sides :

15 = 2x - 9

15 + 9 = 2x - 9 + 9

Simplify:

24 = 2x

Divide both sides to get the result:

24 = 2x

24/2 = (2x)/2

Result:

x=12

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

Answer:

x=12

Step-by-step explanation:

[tex]15=2x-9[/tex]

[tex]2x-9=15[/tex]

[tex]2x-9+9=15+9[/tex]

[tex]2x=24[/tex]

[tex]\cfrac{2x}{2}=\cfrac{24}{2}[/tex]

[tex]x=12[/tex]

A contractor bought 12.6 ft? of sheet metal. He has used 2.1 ft? so far and has $210 worth of sheet metal remaining. The equation 12.6x-2.1x = 210 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?​

Answers

Answer:

$20

Step-by-step explanation:

12.6x-2.1x=210

10.5x=210

x=210/10.5

x=20

I'm having a bit of trouble finding out how to find the Domain of this function. Help please!

Answers

In general, the domain is the set of all x-values for the graph.  

The issue here is that this isn't the graph of a function.  A function has at most one y-value for each x-value and this graph has an infinite number of y-values for the single x-value of 1.

So, either your teacher is wanting you to say the domain is {1}, because that's the only x-value used by the graph, or they're wanting you to say this is a trick question, because this isn't the graph of a function.

The range is the set of all y-values, which is -9<y<9, but again, do they intend this to be a trick question?

HELP!! What is the approximate measure of angle x in the triangle shown?
60.3 degrees
80.4 degrees
117.1 degrees
130.5 degrees

Answers

Answer:   D)  130.5 degrees

=================================================

Work Shown:

[tex]c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\[/tex]

Note: I used the law of cosines. Make sure your calculator is in degree mode.

Is the point (8,7) inside or outside the circle defined by the equation x² + y = 100 ? ​

Answers

The point is inside the circle

Even more picrews of mine............... THIS IS THE LAST ONE I WILL MAKE K? (not to be mean)

i have a lot of picrew

Answers

Answer:

Honestly you should enter the art show or something in your city/country

Step-by-step explanation:

It is good.

Which of the following values makes the equation
4x − 8 = −4 true?

−3

−1

1

3

Answers

Answer:  C) 1

Work Shown:

4x - 8 = -4

4x = -4+8

4x = 4

x = 4/4

x = 1

To check the answer, we replace x with 1 in the original equation. After simplifying, we should get the same thing on both sides

4x - 8 = -4

4(1) - 8 = -4

4 - 8 = -4

-4 = -4

The answer is confirmed.

true? I believe due to how it starts with positive 4 and is subtracted by -8 this conceding a negative number.

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

I'm guessing 60km.

Step-by-step explanation:

So per hour,

45km÷3=15km/h

Thereof,

In 4 hours,

15×4=60km.

He will bike 60 km bc in 3 hours was 45 45/3 is 15 so add 15 each hour

Can someone tell me what 1=x-18 equals

Answers

Answer:

19 = x

Step-by-step explanation:

1=x-18

Add 18 to each side

1+18=x-18+18

19 = x

The answer is x=19. Add 18 to both sides which cancels out the 18 on the right then 1+18=x so x=19

5 = t + 12
please help me for this

Answers

Answer:

t = -7

Step-by-step explanation:

You have to get t by itself. Just take the 12 and subtract it from both sides. 5-12 on the left and 12-12 on the right. You then end up with -7 = t or t = -7.

40 POINTS!
Please answer for
m∠1 AND m∠2

Answer choices for m∠1:
50, 110, 70, 90
Answer choices for m∠2:
70, 110, 40, 140

Answers

Answer:

70°, 140°, 50°

Step-by-step explanation:

110° and the angle inside the triangle are adjacent angles and sum to 180°, so

angle inside triangle = 180° - 110° = 70°

The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent

∠ 1 = angle inside triangle = 70°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 2 is an exterior angle of the triangle on the left, so

∠ 2 = 70° + 70° = 140°

∠ 2 is also an exterior angle of the triangle on the right, so

∠ 3 + 90° = 140° ( subtract 90° from both sides )

∠ 3 = 50°

What are the outputs for an input If x= 5 and the output is y= 3x -4

Answers

Answer:

11

Step-by-step explanation:

y=3 × 5 -4

=15-4

11

this is your answer

Step-by-step explanation:

yyuejekkgebbehekkejwjuehhehjeklwmsb

bdbjejejejjej

The heights of Karina, Miya and Clint were 155cm, 158cm, and 161cm respectively. What is the height of Roger if the mean of all of them is 158cm?

Answers

Answer:

The height of Roger is 158cm

Step-by-step explanation:

All of them=158cm

They are 4.So,158^4=632cm

Height of 3 persons=155cm+158cm+161cm=474cm

Therefore the height of Roger is 632cm-474cm=158cm

The height of Roger with the mean of all of them is given is 158 cm.

Given that, the heights of Karina, Miya and Clint were 155cm, 158cm, and 161cm respectively.

What is mean?

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Let the height of Roger be R.

Mean= 158 cm

We know that, mean =Sum of all the observations/Number of observations

⇒ (155+158+161+R)/4 =158

⇒ 474+R=632

⇒ R=632-474

⇒ R=158 cm

Hence, the height of Roger with the mean of all of them is given is 158 cm.

To learn more about an arithmetic mean visit:

https://brainly.com/question/15196910.

#SPJ2

13 degree difference?

15 degree difference?

16 degree difference?

17 degree difference?

Answers

Answer:

gggggggggggggggvggfggffvvvcvcccccfffcffffffffff

[tex]201[/tex]

Someone help me I will mark you as brain

Answers

Answer:

Last one hard to explain

I will give brainliest if right

Which sentence contains an allusion?
A. A stack of chores higher than a skyscraper waited for me.
B. His new supervisor wanted Zeus-like authority over everyong
C. Clouds crawled out from behind the mountain to say hello.
D. My heart was a two-cylinder engine that needed maintenance.

Answers

Answer:

B

Step-by-step explanation:

it is honestly based on storys and movies so zesu is one of them its the same thing for harry potter too

Answer: B. His new supervisor wanted Zeus-like authority over everyone

Step-by-step explanation: I took the quiz and got it right  

Other Questions
I need help asap!! ty 2. Differentiate the types of tectonic plates. HELPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!! What is the value of x if OB isan angle bisector of If y=6 when x=2 over 3 find x when y=12 The sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation I still need this question who was the first african american pictured on a u.s. postage stamp? Cmo hallar el dominio de una funcin identidad? What is the first step in finding a solution to a problem? 1: Choose a solution. 2:Think of options to solve the problem. 3:Try the solution. 4:Turn the problem into a question. y=6/13X is a proportional relationship what is the larger chamber of congress where each states representation is determined by their population 10. Which sentence from the article shows a shift from its positive tone?10 pointsA. During the 1960's, young Americans on and off campuses challenged conventional lifestyles and institutions.B In 1961, John Kennedy coupled his presidential oath of office with an announcement that the torch of American idealism had been passed to a new generation.C We tend to equate the idealism of the 1960s with the student movements and the counterculture that offered the most dramatic challenges to American policies and conventions.D Critics argue that the era created the welfare state, bred a culture of immorality and self-indulgence, and bequeathed to America's taxpayers an enormous burden. Why were the colonists extremely upset with the sugar act, and stamp act specifically in relation to their day to day lives? (two answers)Group of answer choicesThese taxes made it possible for the English Bill of Rights to be suspended.These taxes were issued without approval of the ColoniesThese taxes were issued by the King not Parliament, and the king did not have the power to tax.These were taxes on commerce which hurt prospertyShays rebellion serves as an example of ______________, and why government must be ______________.Group of answer choicesPeaceful Gathering, Direct DemocracyMob Rule, RepublicPopular Sovereignty, Direct Democracy.Authoritarian Rule, Representatitve DemocracyShays' rebellion in many ways was caused by the lack of government ability to do what?Group of answer choicesAppoint senior officersProvide for the general welfare of its citizens through taxesRaise an ArmyMake treatiesThe American Revolution was primarily fought over which of the following?Group of answer choicesPreservation of slavery in the American ColoniesThe repeated abuse and violation of Englishmen rights.In order for the colonists to expand westardThe rising cost of living in major colonial cities Add two apostrophes to this sentence. A birds song is different from its call because its longer and has more complex sounds. what is the difference between deteriorate and erode -4(50x-20)=10x+15+23 what is the difference between the grasshoppers in north america Help please............................................................. what is the time difference for pst versus central time