Solve the system of two linear equations. −3x−4y=−23 3x−5y=5 (1 point) Responses

Answer 1

To solve the system of equations:

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

We can eliminate the x term by adding Equation 1 and Equation 2 together.

(-3x - 4y) + (3x - 5y) = -23 + 5
-3x + 3x - 4y - 5y = -18
-9y = -18
y = -18 / -9
y = 2

Now, substitute the value of y into Equation 1 to find the value of x.

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

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