To solve a system of equations using substitution, you can start by solving one of the equations for one of the variables, such as x or y. For example, in this case, we can solve the first equation for x by subtracting y from both sides, like this:
[tex]-x - y = 1[/tex]
[tex]-x = 1 - y[/tex]
Now that we have an expression for x in terms of y, we can substitute that expression into the second equation to solve for y. When we do that, we get:
[tex]y = -(1 - y) + 4[/tex]
[tex]y = -1 + y + 4[/tex]
Now we can rearrange the terms on the right-hand side to make it easier to solve for y:
[tex]y = y + 4 - 1[/tex]
And when we combine the y terms on the left-hand side, we get:
[tex]2y = 3[/tex]
Finally, we can solve for y by dividing both sides by 2, like this:
[tex]y = 3 / 2[/tex]
Once we know the value of y, we can substitute it back into any of the original equations to solve for the other variable, x. In this case, if we substitute the value of y into the first equation, we get:
[tex]-x - y = 1[/tex]
[tex]-x - (3 / 2) = 1[/tex]
We can solve for x by rearranging the terms on the left-hand side and then dividing both sides by -1, like this:
[tex]-x = -1 + (3 / 2)[/tex]
[tex]x = (1 - 3) / 2[/tex]
Therefore, the solution to the system of equations is x = -1 and y = 3/2.
It's important to check your solution by substituting the values of x and y into the original equations to make sure they work. For example, if we substitute x = -1 and y = 3/2 into the first equation, we get:
[tex](-1) - (3 / 2) = 1[/tex]
And if we substitute the same values into the second equation, we get:
[tex](3 / 2) = (-1) + 4[/tex]
Both of these equations are true, which means our solution is correct.
In the triangle below, what is the measure of R?
8
8
309
P
A. 60°
B. 30°
C. 90°
D. 45°
Answer:
∠R = 30°
Step-by-step explanation:
Because QP = QR, it is an isosceles triangle. So ∠R = ∠P
Answer:
B. 30°
Step-by-step explanation:
Side QP and QR are equal which makes the angles equal as well
**EASY**
***picture included***
(Question on slope)
3x - 4y = 7
Answers-
A.) 4/3
B.) 3/7
C.) 3/4
D.) 7/3
((Answer d didn’t show on the picture btw))
a bus stops 5 people get off. then 11 people get on a bus now there are 19 people on the bus
Think about multiplying any two rational numbers. Based on this activity and your previous work, write a set of rules for finding the sign of the product based on the sign of the two numbers being multiplied.
Answer:
Positive (+) * positive (+) = +
Negative (-) * negative - = +
Negative (-) * positive (+) = -
Positive (+) * negative (-) = +
Step-by-step explanation:
How result of the product of two numbers are affected by the sign on each number being multiplied :
Signs on number values may be positive (+) or negative (-)
The rules goes thus :
Positive (+) * positive (+) = +
Negative (-) * negative - = +
Negative (-) * positive (+) = -
Positive (+) * negative (-) = +
Therefore for any tow rational numbers, the sin of their product will follow the rules above.
Max has $156. He spends 2/3 of his money on groceries. How much money did he have remaining? Explain.
Answer:
$52
Step-by-step explanation:
first 2/3*156 and you get 104
Then you do 156 -104 and you will have your answer
Answer:
Max has $52 remaining
Step-by-step explanation:
[tex]\frac{2}{3}*\frac{156}{1} = \frac{312}{3} \\[/tex]
simplify [tex]\frac{312}{3}[/tex] by 3 to get [tex]\frac{104}{1}[/tex]
What is the area?
9 yd
7 yd
It is 63 yards squared (63yd^2)
Step-by-step explanation:
9 x 7 = 63
Answer:63
Step-by-step explanation:
Area=LxW
HELP THIS IS DUE TODAY!!
Find the distance from the point P(4,1) to the line segment joining the points Q(1,-8) and R(-4,2). Show your steps.
Answer:
7,8
Step-by-step explanation:
Distance Formula:
The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:
d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
Calculate Distance
To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:
d=(−7−5)2+(11−6)2−−−−−−−−−−−−−−−−−√
combining terms inside parentheses we get:
d=(−12)2+(5)2−−−−−−−−−−−√
squaring both terms we get,
d=144+25−−−−−−−√
adding the 2 results,
d=169−−−√
finally,
d=13
Which statement is true of z11.7?
z11.7 is between 0 and 1 standard deviations of the mean.
z11.7 is between 1 and 2 standard deviations of the mean.
z11.7 is between 2 and 3 standard deviations of the mean.
Answer
z11.7 is between 1 and 2 standard deviations of the mean.
Step-by-step explanation:
Which expression has a quotient of about 7?
Answer:
36/5
Step-by-step explanation:
A, B, C, and D are points on a line with Ab=1, Bc=2, Cd=4. Find the length of the segment Ad. Consider all possibilities
Answer:
7?
Step-by-step explanation:
xd
Answer:
It could be 7, 5, or 1
Step-by-step explanation:
To find the length of segment AD you have to find all the possiblities you can get from adding other segments with A and D.
5
A system of equations is shown.
y = 2x – 7
y = -x + 5
What is the solution to the system of equations?
Answer:
x = 4
Step-by-step explanation:
Eliminate y by setting the first equation equal to the second:
2x - 7 = -x + 5
Combining like terms, we get:
3x = 12, so that x must be 4.
Solution or not a solution
and because
Step-by-step explanation:
X + Y = -3
X + 3x +5 = -3
X=-2
X+Y=-3
Y=-3+2
Y=-1
prove that 5root7 is i
rrational
Answer:
See Explanation
Step-by-step explanation:
Let us assume that [tex] 5\sqrt 7[/tex] is a rational.
Therefore, it can be expressed in the form of [tex] \frac{p}{q}[/tex], where p and q are integers.
[tex] \implies 5\sqrt 7=\frac{p}{q}[/tex]
[tex] \implies \sqrt 7=\frac{p}{5q}[/tex]
[tex] \because [/tex] p and q are integers.
[tex] \therefore \frac{p}{5q}[/tex] is a rational number.
[tex] \implies \sqrt 7[/tex] is rational ([tex] \because [/tex] quotient of a rational number is rational)
But, it contradicts the fact that [tex]\sqrt 7[/tex]is irrational.
So, [tex]5\sqrt 7[/tex] is also irrational, because the product of rational and irrational is irrational.
This contradiction is arising out because of our wrong assumption that [tex] 5\sqrt 7[/tex] is rational.
Hence, [tex] 5\sqrt 7[/tex] is irrational.
Which does not belong? 21% 21/100 21:100 21
Answer:
B.21
Step-by-step explanation:
because it's the only whole number.
Please help me with a cherry, sprinkles AND gummy bears??
Thank you!
Answer:
Step-by-step explanation:
square- 48*32=1536
triangle- .5*12*48= 288
Answer:
ALI = 288 in²AIEN = 1536 in²ALIEN = 1824 in²Steps:
ALI = 48×12/2 = 48×6 = 288 in²
AIEN = 48×32 = 1536 in²
ALIEN = ALI + AIEN
ALIEN = 288 + 1536
ALIEN = 1824 in²
Dillon works in a coffee mug plant. One of his main tasks is to randomly select finished mugs and test them to make sure that they are properly formed and hold the correct amount of coffee without dissolving the finish. Which job does Dillon most likely have?
A Occupational Health and Safety Specialist
B Environmental Science and Protection Technician
C Quality Control Analyst
D Product Safety Engineer
Answer:
I feel the answer is Quality Control Analyst
Step-by-step explanation:
The reason being that they test the quality of the product and make sure there is no flaws.
I need help on this.
Answer:
This is very easy. Basically, the smallest angle is across from the smallest side. The largest angle is across from the largest side. ezpz
So number 9 ordered from smallest to largest would be
GE < GF < FE
Step-by-step explanation:
Please need help hurry.
Answer:
1/1
Step-by-step explanation:
find the area of this shape
Answer:
1496π square meters
Step-by-step explanation:
A=2πrh+2πr²
=2π(17)(27)+2π(17)²
= 918π + 578π
=1496π
A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in meters, of the rectangle?
Your answer:
16 meters
32 meters
48 meters
Answer:
24 800cm.
Step-by-step explanation:
Length in metres =12×100=12000cm
Perimeter. =2[l+b]
Perimeter. =2[12000+400]
Perimeter. =2×12400
Perimeter. =24 800cm
Perimeter. =24 800cm÷100
Perimeter. =24.8m
PLEASE GIVE BRAINLIEST
. Mr. Jargon, the gold seller, ordered 2500 grams of silver, .80 kilograms of brass, and 1700 grams of copper. How many kilograms of metal did she order in all? _______ kilograms
Answer:
5 kilograms
Step-by-step explanation:
There is a thousand grams in one kilogram so divide the silver and copper by 1,000 to get 1.7 and 2.5 then add them all together.
Could I plz get a crown just two away from leveling up!!
Pls help I only have 8 minutes left I need a detailed answer pls be quick
Answer: 2x+4 is the equation
the slope would be 2/1 and the y would be 4 (up) because thats where it is on the y axis
The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes
the two lines?
2x + y = 12
y-2 = 3(x - 2)
1) parallel
2) perpendicular
3) the same line
4) neither parallel nor perpendicular
Answer:
4
Step-by-step explanation:
2x+y=12
y=-2x+12
y-2=3(x-2)
If it’s parallel to each other: the slope has to be the same.
If is perpendicular to each other: the slope should be the reciprocal to each other.
The first equation has a slope of -2
The second has a slope of 3
Neither the condition meet. So the answer is 4
So if the following system of equations by substitution.
7x+2y= -13
-3x-8y= -23
A. (-3,1)
B. (-3,4)
C. (1,3)
D. (1,1)
Step-by-step explanation:
Option B is correct.
I'm sure (-3 , 4)
Answer:
x=-3, y=4. (-3, 4). B)
Step-by-step explanation:
7x+2y=-13
-3x-8y=-23
-------------------
4(7x+2y)=4(-13)
-3x-8y=-23
---------------------
28x+8y=-52
-3x-8y=-23
-------------------
25x=-75
x=-75/25
x=-3
7(-3)+2y=-13
-21+2y=-13
2y=-13-(-21)
2y=-13+21
2y=8
y=8/2
y=4
A rectangle has a perimeter of 32 feet
and an area of 63 square feet. Find the
dimensions.
Answer:
the dimensions are 7 inches and 9 inches
What is the value of x?
26°
to
X =
= [?]
Answer:
x = 154°
Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
x = 154°
Becky and Keith run for exactly 20 minutes on a treadmill keith's treadmill said he had run 10,000 ft Becky's treadmill had said she had run 2 miles who ran farther and how much farther?
Answer:
Becky ran farther and farther by 560 ft.
Step-by-step explanation:
1 mile = 5280 ft
Becky: 2 * 5280 = 10560 ft
Keith: 10000 ft
10560 ft > 10000 ft, so Becky ran more distance than Keith.
10560 - 10000 = 560 ft, so Becky ran 560 ft more than Keith.
Can Someone please help me out with this problem
Step-by-step explanation:
find the area as if it was a rectangle so do 14x12 then subtract the area of half a circle with a diamater of 12
help i'll give you a brainliest pls :)
Answer:
17%..................
Pls help will give brainless
Answer:
56 trucks and 24 cars
Step-by-step explanation:
Multiply each by 8 to continue the linear relationship.
Answer:
The answer is C. 56 trucks and 24 cars
Step-by-step explanation:
24/3 = 8
8 x 7 = 56
(っ◔◡◔)っ ♥ Hope It Helps ♥