System of Equations Calculator with steps
Solve two equations (or three) by substitution or elimination. Type your problem: see the answer, then every step with the reason. Free, no sign-up.
Solved examples
Each one solved step by step, with the reason for every step.
- Solve y = 2x + 1, 3x + y = 11 (x, y) = (2, 5)
- Solve x + y = 10, x - y = 2 (x, y) = (6, 4)
- Solve x + 2y = 7, 3x - 2y = 5 (x, y) = (3, 2)
- Solve x + y - z = 0, x - y + 3z = 8, x - y - z = -4 (x, y, z) = (1, 2, 3)
- Solve y = x + 3, 2x + y = 9 (x, y) = (2, 5)
- Solve x - y - z = -3, x - y + z = 3, x + 3y + z = 15 (x, y, z) = (3, 3, 3)
- Solve x = 3y - 2 and 2x + y = 10 (x, y) = (4, 2)
- Solve x + 3y + z = 12, x - y - z = 0, x - y + z = 8 (x, y, z) = (5, 1, 4)
- Solve y = 4x, x + y = 10 (x, y) = (2, 8)
- Solve x - y + z = 4, x + 3y - z = 10, x - y - z = -2 (x, y, z) = (4, 3, 3)
- Solve x + y - z = 3, x - y - z = 1, x + y + 3z = -1 (x, y, z) = (1, 1, −1)
- Solve x + y = 7, x - y = 3 (x, y) = (5, 2)
- Solve x + y + 3z = 16, x + y - z = 8, x - y - z = -2 (x, y, z) = (5, 5, 2)
- Solve 2x + y = 9, x - y = 3 (x, y) = (4, 1)
- Solve x - y + 3z = 7, x + y - z = -1, x - y - z = 3 (x, y, z) = (2, −2, 1)
Learn how to do it yourself
- Systems of equations · Algebra 1 · 22 problems, printable worksheet
- Three equations in x, y, z · Algebra 1 · 20 problems, printable worksheet
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