2.) What is the y- coordinate for the SOLUTION to the following system of equations? (Note: although you do not HAVE to graph, it is suggested.) y = -x- 2 by = 4(x - 1) + 7

Question

asked Jun 6, 2021 205k views

1 Answer

Ddd · Answer 1 · 2021-06-12T23:41:45+0000

Answer:

y-coordinate for the SOLUTION to the following system of

equations will be:

The graph is also attached.

Explanation:

Given the system of equations

$y\:=\:-x-\:2$

$y\:=\:4\left(x\:-\:1\right)\:+\:7$

Let us solve the system of equations to determine the y- coordinate

$\begin{bmatrix}y=-x-2\\ y=4\left(x-1\right)+7\end{bmatrix}$

y-4x=3

$\underline{y+x=-2}$

-5x=5

so

$\begin{bmatrix}y+x=-2\\ -5x=5\end{bmatrix}$

solve -5x=5 for x

-5x=5

Divide both sides by -5

(-5x)/(-5)=(5)/(-5)

x=-1

$\mathrm{For\:}y+x=-2\mathrm{\:plug\:in\:}x=-1$

y-1=-2

Add 1 to both sides

y-1+1=-2+1

y=-1

Thus, y-coordinate for the SOLUTION to the following system of

equations will be:

The graph is also attached.