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

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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