Solve the system of equations.

Question

−4x+6y=38
x−5y=−20(1 point)
Responses

(−35, −3)
left parenthesis negative 35 comma negative 3 right parenthesis

(5, 3)
left parenthesis 5 comma 3 right parenthesis

(−5, 3)
left parenthesis negative 5 comma 3 right parenthesis

(35, −3)
left parenthesis 35 comma negative 3 right parenthesis

Answer 1

To solve this system of equations, we can use either substitution or elimination method.

Using the substitution method:
From the second equation, we can rearrange it to get x = 5y - 20.
Now we substitute this value of x into the first equation:
-4(5y - 20) + 6y = 38
-20y + 80 + 6y = 38
-14y + 80 = 38
-14y = -42
y = 3

Now we substitute this value of y back into x = 5y - 20:
x = 5(3) - 20
x = 15 - 20
x = -5

Therefore, the solution to the system of equations is (-5, 3). So the correct response is:
(-5, 3)
left parenthesis negative 5 comma 3 right parenthesis