Answer:
x = 2
y = -3
Explanation:
Step 1: Write systems of equation
8x + 7y = -5
x = -3y - 7
Step 2: Solve for y
- Substitute 2nd equation into 1st: 8(-3y - 7) + 7y = -5
- Distribute 8: -24y - 56 + 7y = -5
- Combine like terms: -17y - 56 = -5
- Add 56 to both sides: -17y = 51
- Divide both sides by -17: y = -3
Step 3: Solve for x
- Substitute y to find x: x = -3(-3) - 7
- Multiply: x = 9 - 7
- Subtract: x = 2
Step 4: Check
Plug in x, y into an original equation to verify it's a solution.
2 = -3(-3) - 7
2 = 9 - 7
2 = 2