Solve the system of equations. −4x+6y=38 x−5y=−20 Responses (−5, 3) (−5, 3) (−35, −3)
-5, 3 is the correct answer. show why this is correct
To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
We are given:
-4x + 6y = 38 (1)
x - 5y = -20 (2)
From equation (2), we can express x in terms of y:
x = 5y - 20 (3)
Now, substitute equation (3) into equation (1):
-4(5y - 20) + 6y = 38
-20y + 80 + 6y = 38
-14y = -42
y = 3
Now, substitute y = 3 back into equation (3) to find x:
x = 5(3) - 20
x = 15 - 20
x = -5
Therefore, the solution to the system of equations is x = -5, y = 3, which means the correct answer is (-5, 3).