Solve the system of two linear equations.

Question

−3x−4y=−23
3x−5y=5(1 point)
Responses

(−5,−2)
left parenthesis negative 5 comma negative 2 right parenthesis
(5, 2)
left parenthesis 5 comma 2 right parenthesis
(5,−2)
left parenthesis 5 comma negative 2 right parenthesis
(−5, 2)

Answer 1

To solve this system of linear equations, we can use the method of elimination by adding the two equations together to eliminate x:

-3x - 4y = -23
3x - 5y = 5

Adding the two equations together:
-4y - 9y = -18
-9y = -18
y = 2

Now we can substitute y = 2 back into one of the original equations to solve for x:

3x - 5(2) = 5
3x - 10 = 5
3x = 15
x = 5

Therefore, the solution to the system of equations is (5, 2). So the correct answer is:
(5, 2)