Solve the system of equations.

3x−4y=40
5x−5y=55(1 point)
Responses

(4,−7)
left parenthesis 4 comma negative 7 right parenthesis

(18, 7)
left parenthesis 18 comma 7 right parenthesis

(14, 3)
left parenthesis 14 comma 3 right parenthesis

(8,−3)

1 answer

We can solve this system of equations using either substitution or elimination method.

Let's use the elimination method:
Multiply the first equation by 5 and the second equation by 3 to eliminate the y term:
15x - 20y = 200
15x - 15y = 165

Subtract the second equation from the first equation:
-5y = 35
Divide both sides by -5:
y = -7

Substitute the value of y into one of the original equations to solve for x:
3x - 4(-7) = 40
3x + 28 = 40
3x = 12
x = 4

Therefore, the solution to the system of equations is (4, -7).