Question

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

Answer 1

y-coordinate for the SOLUTION to the following system of

equations will be:

• y=-1

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:

• y=-1

The graph is also attached.