Solving Systems of Equations by Substitution

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Solving systems by substitution

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Method of solving systems of equations by substituting one equation into another.

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Step 1

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Look for an equation solved for x or y.

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Step 2

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Substitute the expression into the other equation.

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Step 3

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Solve for one variable.

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Step 4

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Substitute your answer into either equation.

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Step 5

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Write your answer as an ordered pair, (x, y).

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Example 1

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y = x - 9, y = 4x - 24; Answer: (5, -4)

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Example 2

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y = -8x + 14, y = -5x + 11; Answer: (1, 6)

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-5x + 4y = 7, y = -2x - 8

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(-3, -2)

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y = -4x - 23, 4x - 3y = 13

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(-1, 5)