Question

What equation is solved by the graphed systems of equations?

a. 3x + 4 = 5x - 10
b. 3x - 4 = 5x - 10
c. 3x + 4 = 5x + 10
d. 3x - 4 = 5x + 10

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=(-14)/(-2) \\ x=7 \\ \\ b. \\ 3x-4=5x-10 \\ 3x-5x=-10+4 \\ -2x=-6 \\ x=(-6)/(-2) \\ x=3 \\ \\ c. \\ 3x+4=5x+10 \\ 3x-5x=10-4 \\ -2x=6 \\ x=(6)/(-2) \\ x=-3 \\ \\ d. \\ 3x-4=5x+10 \\ 3x-5x=10+4 \\ -2x=14 \\ x=(14)/(-2) \\ x=-7`

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