Question

Y=-x+7 , y=x-1 and show your work Help !

Answer 1

This is a system of equations. The best way to solve it is by realizing that you have two equations equal to y. Since y = y, it follows that $-x+7=x-1$. Solving for x, you get 4.

$7=2x-1 \\ 8=2x \\ 4=x$

Then, substitute 4 into one of the original equations to find y.

$y=(4)-1=3$.

The solution is $(4,3)$. I have attached a graphical representation of the solution as well.