Answer:
x = 3
y = 2
Step-by-step explanation:
Step 1: Define
-x - 5y = -13
y = 7x - 19
Step 2: Substitute and solve for x
- Substitute: -x - 5(7x - 19) = -13
- Distribute -5: -x - 35x + 95 = -13
- Combine like terms: -36x + 95 = -13
- Subtract 95 on both sides: -36x = -108
- Divide both sides by -36: x = 3
Step 3: Substitute x to find y
- Substitute: y = 7(3) - 19
- Multiply: y = 21 - 19
- Subtract: y = 2
Step 4: Check
Plug in x and y to verify it's a solution set.
2 = 7(3) - 19
2 = 21 - 19
2 = 2
