Answer:
Solution = (5, 2)
Explanation:
Step 1: Solve for y in 9x + 2y = 49
1. 9x + 2y = 49 → 2y = -9x + 49 → y = -4.5x + 24.5
Step 2: Substitute -4.5x + 24.5 for y in -3x + 5y = -5
2. -3x + 5(-4.5x + 24.5) = -5
Step 3: Solve for x
3. -3x - 22.5x + 122.5 = -5 → -25.5x + 122.5 = -5 → -25.5x = -127.5 → x = 5
Step 4: Substitute 5 for x in -3x + 5y = -5
4. -3(5) + 5y = -5 → -15 + 5y = -5 → 5y = 10 → y = 2
Hope this helps :)