−4x+6y=38

x−5y=−20 (1 point)

Responses
(35, −3)
(5, 3)
(−5, 3)
(−35, −3)

1 answer

To solve this system of equations, we can use the method of substitution.

From the second equation, we can rearrange it to solve for x:
x - 5y = -20
x = 5y - 20

Now substitute this value of x into the first equation:
-4x + 6y = 38
-4(5y - 20) + 6y = 38
-20y + 80 + 6y = 38
-14y = -42
y = 3

Substitute this value of y back into the second equation to solve for x:
x - 5(3) = -20
x - 15 = -20
x = -20 + 15
x = -5

Therefore, the solution to the system of equations is (x, y) = (-5, 3).

The correct response is (−5, 3).