9th Grade Systems of Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 9th Grade systems of equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations9th Grade Systems of Equations Worksheet — Level 3 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: 2x − 3y = −22 and 3x − 5y = −37
Answer: x = 1, y = 8
- Multiply equation 1 by 3 and equation 2 by 2 to match the x coefficients
- 6x − 9y = −66 and 6x − 10y = −74
- Subtract: y = 8, so y = 8
- Substitute back: x = 1
2.Solve the system: 4x − 4y = −28 and 5x − 4y = −32
Answer: x = −4, y = 3
- Multiply equation 1 by 5 and equation 2 by 4 to match the x coefficients
- 20x − 20y = −140 and 20x − 16y = −128
- Subtract: −4y = −12, so y = 3
- Substitute back: x = −4
3.Solve the system: 4x − 4y = 36 and 3x + y = 11
Answer: x = 5, y = −4
- Multiply equation 1 by 3 and equation 2 by 4 to match the x coefficients
- 12x − 12y = 108 and 12x + 4y = 44
- Subtract: −16y = 64, so y = −4
- Substitute back: x = 5
4.Solve the system: 4x + 3y = −27 and 2x + 2y = −14
Answer: x = −6, y = −1
- Multiply equation 1 by 2 and equation 2 by 4 to match the x coefficients
- 8x + 6y = −54 and 8x + 8y = −56
- Subtract: −2y = 2, so y = −1
- Substitute back: x = −6
5.Solve the system: 3x + y = 15 and 2x + y = 8
Answer: x = 7, y = −6
- Multiply equation 1 by 2 and equation 2 by 3 to match the x coefficients
- 6x + 2y = 30 and 6x + 3y = 24
- Subtract: −y = 6, so y = −6
- Substitute back: x = 7
6.Solve the system: 2x − y = −9 and 4x − 4y = −12
Answer: x = −6, y = −3
- Multiply equation 1 by 4 and equation 2 by 2 to match the x coefficients
- 8x − 4y = −36 and 8x − 8y = −24
- Subtract: 4y = −12, so y = −3
- Substitute back: x = −6
7.Solve the system: 2x − 2y = −22 and 4x + y = −4
Answer: x = −3, y = 8
- Multiply equation 1 by 4 and equation 2 by 2 to match the x coefficients
- 8x − 8y = −88 and 8x + 2y = −8
- Subtract: −10y = −80, so y = 8
- Substitute back: x = −3
8.Solve the system: 2x − 4y = −14 and 4x − y = 0
Answer: x = 1, y = 4
- Multiply equation 1 by 4 and equation 2 by 2 to match the x coefficients
- 8x − 16y = −56 and 8x − 2y = 0
- Subtract: −14y = −56, so y = 4
- Substitute back: x = 1
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.