Answer: (5,5)
Step by step explanation:
We have the two equations
-7x + y = -30 and y = 2x - 5
one of the equations "define" y therefore we can plug the value of y into the other equation and solve for x
-7x + y = -30
plug in y = 2x - 5
-7x + 2x - 5 = -30
combine like terms
-5x - 5 = -30
add 5 to both sides
-5x = -25
divide both sides by -5
-5x/-5 = x and -25/-5 = 5
we're left with x = 5
we now plug in the value of x into one of the equations and solve for y
2x - 5 = y
x = 5
2(5) - 5 = y
multiply 2 and 5
10 - 5 = y
subtract
y = 5
the solution is (5,5)