solve the system of equations by substitution

Answer:
(2,3)
Step-by-step explanation:
A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.
Because y=5x-7, we can substitute 5x-7 into y in -3x-2y=-12.
-3x-2(5x-7)=-12
-3x-10x+14=-12
-13x+14=-12
-13x+14-14=-12-14
-13x=-26
x=2
We now substitute x=2 into y=5x-7.
y=5(2)-7
y=10-7
y=3