The solution to the system of equations is (6, -5/8).
To solve the system of equations -3x + 6y = -18 and 5x - 3y = -5, we can use the method of elimination. Multiplying the first equation by 5 and the second equation by 2, we get:
-15x + 30y = -90
10x - 6y = -10
Adding these two equations, we get:
-5x + 24y = -100
Solving for y, we get:
y = (-100 + 5x)/24
Substituting this expression for y into either of the original equations, we get:
-3x + 6((-100 + 5x)/24) = -18
Simplifying and solving for x, we get:
x = 6
Substituting this value of x into the expression for y, we get:
y = (-100 + 5(6))/24 = -5/8
Therefore, the solution to the system of equations is (6, -5/8).
Complete question:
Solve -3x + 6y = -18: 5x-3y=-5. Find the (x, y)