Answer
The solution is (-$\frac{11}{17}$,-$\frac{188}{17}$)
Work Step by Step
You have -2x+5y=-54 and y=-3x-13.Solve for X and Y:
Substitute the second equation into the first:
-2x+5(-3x-13)=-54 -distribute-
-2x-15x-65=-54 -simplify like terms-
-17x-65=-54 -add 65 to both sides-
-17x=11 -divide both sides by -17-
x=-$\frac{11}{17}$
Plug in x=-$\frac{11}{17}$ into one of the equations:
y=-3($-\frac{11}{17}$)-13
y=-$\frac{188}{17}$
The solution is (-$\frac{11}{17}$,-$\frac{188}{17}$)
