Solve the system of two linear equations.%0D%0A−3x−4y=−23%0D%0A3x−5y=5(1 point)%0D%0AResponses

Answer 1

To solve the system of equations:

-3x - 4y = -23 ...(1)
3x - 5y = 5 ...(2)

We can use the elimination method to solve the system.

Adding equations (1) and (2), we get:

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

Simplifying, we get:

-4y - 9y = -18

-9y = -18

Dividing both sides by -9, we get:

y = 2

Now, substitute the value of y into either of the original equations. Let's substitute into equation (1):

-3x - 4(2) = -23

-3x - 8 = -23

Adding 8 to both sides:

-3x = -23 + 8

-3x = -15

Dividing both sides by -3, we get:

x = 5

Therefore, the solution to the system of equations is x = 5 and y = 2.