Question

Solve the system of equations
y=5x-7
-3x-2y=-12
(3,2)
(-3,-3)
(2,3)
(3,3)

Answer 1

To solve the system of equations, we substitute the value of y from the first equation into the second equation:

y = 5x - 7

-3x - 2(5x - 7) = -12
-3x - 10x + 14 = -12
-13x + 14 = -12
-13x = -26
x = 2

Now that we have found the value of x, we can substitute it back into the first equation to find y:

y = 5(2) - 7
y = 10 - 7
y = 3

Therefore, the solution to the system of equations is (2,3).