−3x−4y=−23

Question

3x−5y=5 (1 point)

Answer 1

To solve this system of equations, first solve for one variable in the first equation. Let's solve for x:

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

Now substitute this expression for x into the second equation:

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

Now substitute y = 2 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 x = 5 and y = 2.