First, we will multiply both sides of the first equation by 3 to eliminate x:
-9x - 12y = -69
Now we will add this new equation to the second equation to eliminate x:
-9x - 12y + 3x - 5y = -69 + 5
-6y = -64
y = 64/6
y = 10.67
Now that we have the value of y, we can substitute it back into the first equation to solve for x:
-3x - 4(10.67) = -23
-3x - 42.68 = -23
-3x = -23 + 42.68
-3x = 19.68
x = 19.68 / -3
x = -6.56
Therefore, the solution to the system of equations is x = -6.56 and y = 10.67.
Solve the system of equations
-3x - 4y = -23
3x - 5y = 5
1 answer