I'll solve each linear equation step by step.
1a. -3 = 7p - 5
- Add 5 to both sides: -3 + 5 = 7p
- Simplify: 2 = 7p
- Divide both sides by 7: p = 2/7
1b. (-5 - v)/3 = 1
- Multiply both sides by 3: -5 - v = 3
- Add 5 to both sides: -v = 8
- Multiply both sides by -1: v = -8
2a. 7 = (w - (-7))/5
- Simplify the numerator: w - (-7) = w + 7
- So: 7 = (w + 7)/5
- Multiply both sides by 5: 35 = w + 7
- Subtract 7 from both sides: w = 28
2b. -1 - 4s = 8
- Add 1 to both sides: -4s = 9
- Divide both sides by -4: s = -9/4
3a. 2 = 3 - 2t
- Subtract 3 from both sides: -1 = -2t
- Divide both sides by -2: t = 1/2
3b. 9 = (5 - t)/(-5)
- Multiply both sides by -5: -45 = 5 - t
- Subtract 5 from both sides: -50 = -t
- Multiply both sides by -1: t = 50
Final Answer:
1a. p = 2/7
1b. v = -8
2a. w = 28
2b. s = -9/4
3a. t = 1/2
3b. t = 50
Parent Tip: Review the logic above to help your child master the concept of math worksheet algebra 1 9.
