Final answer:
To solve the system of equations -2x - 2y = -28 and 2x + 4y = 42, we can use the method of elimination. Multiply the first equation by 2 to eliminate the x terms. Add this equation to the second equation. Simplify and solve for x and y.
Step-by-step explanation:
To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of elimination. Multiply the first equation by 2 to eliminate the x terms. We get: -4x - 4y = -56. Add this equation to the second equation: (-4x - 4y) + (2x + 4y) = -56 + 42. Simplify: -2x = -14. Divide both sides by -2 to solve for x: x = 7. Substitute this value of x back into one of the original equations. Let's use the first equation: -2(7) - 2y = -28. Simplify: -14 - 2y = -28. Add 14 to both sides: -2y = -14. Divide both sides by -2 to solve for y: y = 7.