Example of substitution method of linear equations, Mathematics

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Describe some Example of substitution method of Linear Equations with solution.


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Aliena

2/12/2013 3:12:22 AM

Solve the given via substitution method

            2x + y = 8

            3x - 2y = -2

Solution

Solve the first equation for y

            y = 8 - 2x

Now substitute this value of y into the second equation and then solve for x

            3x - 2y = -2

            3x - 2 (8-2x) = -2

            x = 2

Now substitute this value of x into either the first or the second original equation and then solve for y

            2x + y = 8

            (2) (2) + y = 8

            y = 4

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