Question

What equation is solved by the graphed systems of equations?

Answer 1

The solution on the graph is (x,y)=(7,25), so x=7.

$a. \\ 3x+4=5x-10 \\ 3x-5x=-10-4 \\ -2x=-14 \\ x=\frac{-14}{-2} \\ x=7 \\ \\ b. \\ 3x-4=5x-10 \\ 3x-5x=-10+4 \\ -2x=-6 \\ x=\frac{-6}{-2} \\ x=3 \\ \\ c. \\ 3x+4=5x+10 \\ 3x-5x=10-4 \\ -2x=6 \\ x=\frac{6}{-2} \\ x=-3 \\ \\ d. \\ 3x-4=5x+10 \\ 3x-5x=10+4 \\ -2x=14 \\ x=\frac{14}{-2} \\ x=-7$

x=7 in the equation a, so the answer is A.