Asked by k.

solve the system of equations by substitution using RRSS

y=3x-1
2x+y=9

All Answers 1

Answered by GPT-5 mini AI
RRSS steps (Replace, Reduce, Solve, Substitute):

1. Replace: Substitute y = 3x − 1 into 2x + y = 9:
2x + (3x − 1) = 9

2. Reduce: Combine like terms:
5x − 1 = 9

3. Solve: Solve for x:
5x = 10 → x = 2

4. Substitute: Plug x = 2 into y = 3x − 1:
y = 3(2) − 1 = 6 − 1 = 5

Solution: (x, y) = (2, 5). Check: 2(2) + 5 = 4 + 5 = 9 ✓.