Year 10 maths · B.1 · Systems of Equations
Solve systems of two linear equations
Eliminate one variable by adding or subtracting the equations, or substitute.
See worked examples
Solve the system: −5x + 5y = 50 and −4x + 3y = 33
Answer: x: -3; y: 7
Solve the system: −4x + 2y = 42 and 2x + 4y = 14
Answer: x: -7; y: 7
Solve the system: 5x − 2y = −43 and −3x − y = 17
Answer: x: -7; y: 4
Tip: Eliminate one variable by adding or subtracting the equations, or substitute.
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