Grade 8 · Math
Solve a pair of linear equations
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Which ordered pair (x, y) solves both equations: x + y = 9 and x − y = -3?
- (4, 6)
- (3, 7)
- (6, 3)
- (3, 6)
See the answer & why
(3, 6)
Add the equations to eliminate y: 2x = 6, so x = 3. Substitute into x + y = 9 to get y = 6. The pair (3, 6) satisfies both equations.
A little hint: A system’s solution must satisfy both equations, not just one.
A system asks for values of x and y that make both equations true.
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