Solve the system of equations.
2x+8y=8
2x−4y=−16
eliminating the 2x, we have
12y = 24
y = 2
so x = -4
Correct! To solve the system of equations by elimination:
- Multiply the second equation by 2 to get 4x - 8y = -32
- Add this equation to the first equation, eliminating the 2x term: 2x + 8y + 4x - 8y = 8 - 32
- Simplify: 6x = -24
- Solve for x: x = -4
- Substitute x = -4 into either equation to solve for y: 2(-4) + 8y = 8
- Simplify: -8 + 8y = 8
- Solve for y: y = 2
Therefore, the solution to the system of equations is (x, y) = (-4, 2).