Question

Solve the system of two linear equations
-3x - 4y = -23
3x - 5y = 5

Answer 1

To solve the system of linear equations, we can use the method of substitution or elimination.

First, let's use the elimination method.

-3x - 4y = -23
3x - 5y = 5

We can add the two equations together to eliminate the x variable:

-3x - 4y + 3x - 5y = -23 + 5
-y = -18
y = 18

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x:

-3x - 4(18) = -23
-3x - 72 = -23
-3x = 49
x = -49/3

Therefore, the solution to the system of linear equations is x = -49/3 and y = 18.