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Grade 9 systems by elimination worksheets
HSA-REI.C.5 Algebra
Printable systems by elimination worksheets for grade 9, aligned to Common Core standard HSA-REI.C.5. Multiply, then add or subtract.
Make a worksheet on this skillFree, instant, no signup. Choose 5–40 problems, three difficulty levels, and a printable answer key.
Sample problems
- Solve the system: x + y = 9 and 2x + 4y = 34 x = 1, y = 8
- Solve the system: 4x + 3y = -20 and x + 2y = -15 x = 1, y = -8
- Solve the system: 3x + y = 22 and 4x + 4y = 40 x = 6, y = 4
- Solve the system: 2x + y = -10 and 4x + 4y = -8 x = -8, y = 6
- Solve the system: 4x + 4y = -24 and x + 4y = -9 x = -5, y = -1
- Solve the system: 4x + 3y = -13 and x + 3y = 8 x = -7, y = 5
- Solve the system: 3x + y = -8 and 4x + y = -11 x = -3, y = 1
- Solve the system: 4x + 4y = 8 and 2x + y = 9 x = 7, y = -5
These eight are one sample at medium difficulty — the generator makes a different set every time.
A worked example
Solve the system: x + y = 9 and 2x + 4y = 34 x = 1, y = 8
- Match the y terms: multiply the first equation by 4 (the second stays): 4x + 4y = 36 and 2x + 4y = 34
- Subtract to eliminate y: 4 − 2 = 2, so 2x = 36 − 34 = 2
- x = 2 ÷ 2 = 1
- Put x into the first equation: 1 × 1 + y = 9, so y = 9 − 1 = 8
- So x = 1, y = 8
Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.
About these worksheets
Every problem is built backwards from its solution, so the answers are whole numbers and the answer key cannot be wrong. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.
Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.
More grade 9 worksheets
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- Solving inequalities
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- Point-slope form
- Parallel and perpendicular slopes
- Quadratic formula
- Vertex of a parabola
- Difference of squares
- Factoring with a leading coefficient
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Number and operations
Word problems
Fractions and decimals