Question

HELPPP ASAP PLS
Solve the system of equations x+y=-2 and -2x-5y=28 by combining the equations.

Answer 1

To solve the system of equations x+y=-2 and -2x-5y=28, express x in terms of y from the first equation, substitute into the second, simplify, and solve for y, then back-substitute to find x. The solution is x = 6 and y = -8.

Step-by-step explanation:

To solve the system of equations x+y=-2 and -2x-5y=28 by combining the equations, follow these steps:

1. Rewrite the first equation to isolate one variable. For example, express x as x = -2 - y.
2. Substitute x = -2 - y into the second equation: -2(-2 - y) - 5y = 28.
3. Simplify and combine like terms: 4 + 2y - 5y = 28, which simplifies to -3y = 24.
4. Divide both sides by -3 to find the value of y: y = -8.
5. Substitute y = -8 back into x = -2 - y to find x: x = -2 - (-8), which simplifies to x = 6.

The solution to the system of equations is x = 6 and y = -8.