Question

Solve the system of equations.−4x+6y=38 x−5y=−20 (1 point)Responses(5, 3)left parenthesis 5 comma 3 right parenthesis(−35, −3)left parenthesis negative 35 comma negative 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. In this case, let's use the elimination method.

First, we will multiply the second equation by 4 to make the coefficients of x in both equations equal:
4x - 20y = -80

Now our system of equations becomes:
-4x + 6y = 38
4x - 20y = -80

Adding these two equations, we get:
-14y = -42
y = 3

Now that we have found y = 3, we can substitute this back into one of the original equations to find x. Let's use the second equation:
x - 5(3) = -20
x - 15 = -20
x = -5

Therefore, the solution to the system of equations is x = -5, y = 3, which is represented as the ordered pair (-5, 3). So, the correct response is (-5, 3).