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notsponge [240]
3 years ago
14

Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Let's solve your system by substitution.

−3x+y=−2;y=4x

Rewrite equations:

y=4x;−3x+y=−2

Step: Solvey=4xfor y:

y=4x

Step: Substitute4xforyin−3x+y=−2:

−3x+y=−2

−3x+4x=−2

x=−2(Simplify both sides of the equation)

Step: Substitute−2forxiny=4x:

y=4x

y=(4)(−2)

y=−8(Simplify both sides of the equation)

Answer:

x=−2 and y=−8

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Point A is at (3, -8) and point B is at (7, 3). Point M is the midpoint of point A and point B.
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The midpoint of point A and point B is (5, -2.5)

<h3>How to determine the midpoint?</h3>

The coordinates are given as:

A = (3, -8)

B = (7, -3)

The midpoint is calculated as:

(x, y) = 0.5 * (x1 + x2, y1 + y2)

So, we have:

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(x, y) = (5, -2.5)

Hence, the midpoint of point A and point B is (5, -2.5)

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2 years ago
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3 years ago
A bedroom has a length of x+ 3 feet and a width of x-1 feet. Write a polynomial to express the area of the bedroom. Then calcula
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Answer:

Step-by-step explanation:

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The polynomial can be written as:

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Now we will find the area of the room when x=10

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3 years ago
Help me pls, im stuck!!!! :))
timofeeve [1]

Answer:

y=8x

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