Final answer:
To solve the system of equations, we can use the method of substitution. By substituting the expression for one variable in terms of the other variable, we can solve for the values of x and y. In this case, the solution is x = -7 and y = 2.
Step-by-step explanation:
To solve the system of equations 3x + 8y = -5 and -2x + 2y = 18, we can use the method of substitution.
- First, solve one equation for one variable in terms of the other variable.
- Let's solve the second equation for x: -2x + 2y = 18.
- By isolating x, we get x = y - 9.
- Next, substitute this expression for x in the first equation: 3(y - 9) + 8y = -5.
- Simplifying, we have 3y - 27 + 8y = -5.
- Combining like terms, we get 11y - 27 = -5.
- Then, solving for y, we have 11y = 22, y = 2.
- Now, substitute this value for y back into the expression for x: x = 2 - 9, x = -7.
- Therefore, the solution to the system of equations is x = -7 and y = 2.