Question

Solve the system of two linear equations. −3x−4y=−23 3x−5y=5 (1 point) Responses (5, 2) left parenthesis 5 comma 2 right parenthesis (−5, 2) left parenthesis negative 5 comma 2 right parenthesis (−5,−2) left parenthesis negative 5 comma negative 2 right parenthesis (5,−2) left parenthesis 5 comma negative 2 right parenthesis

Answer 1

To solve the system of equations, we can use the method of elimination. We'll eliminate the variable "x" by adding the two equations.

(-3x - 4y) + (3x - 5y) = -23 + 5
-3x + 3x - 4y - 5y = -18
-9y = -18

Now, let's solve for y by dividing both sides of the equation by -9.
-9y / -9 = -18 / -9
y = 2

Next, substitute the value of y back into either of the original equations. Let's use the second equation:
3x - 5(2) = 5
3x - 10 = 5
3x = 15

Now, solve for x by dividing both sides of the equation by 3.
3x / 3 = 15 / 3
x = 5

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