Question

Solve the system of two linear equations. −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 negative 2 right parenthesis (5, 2) left parenthesis 5 comma 2 right parenthesis (−5, 2)

Answer 1

To solve the system of equations, we can use the method of elimination. Multiply the first equation by 3 and the second equation by -3 to eliminate the x term:

-9x - 12y = -69
-9x + 15y = -15

Now, subtract the first equation from the second equation:

27y = 54

Divide both sides of the equation by 27 to solve for y:

y = 2

Substitute this value of y back into the first equation to solve for x:

-3x - 4(2) = -23
-3x - 8 = -23
-3x = -15
x = 5

Therefore, the solution to the system of equations is (5, 2).