➕ Algebra 1 · Systems of Equations

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The pairs (answer key)

6y and −6y ↔ Opposites: add the equations

4x and 4x ↔ Equal: subtract the equations

3x and 5x ↔ Neither: multiply first

Both variables cancel, leaving 0 = 8 ↔ No solution

Both variables cancel, leaving 0 = 0 ↔ Infinitely many solutions

x + y = 12 and x − y = 4 ↔ (8, 4)

2x + y = 9 and 2x − y = 3 ↔ (3, 3)