Answer:
y-coordinate for the SOLUTION to the following system of
equations will be:
The graph is also attached.
Step-by-step explanation:
Given the system of equations
[tex]y\:=\:-x-\:2[/tex]
[tex]y\:=\:4\left(x\:-\:1\right)\:+\:7[/tex]
Let us solve the system of equations to determine the y- coordinate
[tex]\begin{bmatrix}y=-x-2\\ y=4\left(x-1\right)+7\end{bmatrix}[/tex]
[tex]y-4x=3[/tex]
[tex]-[/tex]
[tex]\underline{y+x=-2}[/tex]
[tex]-5x=5[/tex]
so
[tex]\begin{bmatrix}y+x=-2\\ -5x=5\end{bmatrix}[/tex]
solve -5x=5 for x
[tex]-5x=5[/tex]
Divide both sides by -5
[tex]\frac{-5x}{-5}=\frac{5}{-5}[/tex]
[tex]x=-1[/tex]
[tex]\mathrm{For\:}y+x=-2\mathrm{\:plug\:in\:}x=-1[/tex]
[tex]y-1=-2[/tex]
Add 1 to both sides
[tex]y-1+1=-2+1[/tex]
[tex]y=-1[/tex]
Thus, y-coordinate for the SOLUTION to the following system of
equations will be:
The graph is also attached.
