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Simultaneous Equations

Simultaneous Equations

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Simultaneous Equations

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    1. Simultaneous Equations Grade Ten Mathematics Prepared by Mr. J. Phiri Chelston High School 2008

    2. Example 1 Solve the following 2x + 3y = 4 3x 2y= 6 Multiply the first equation by 2 Multiply the second equation by 3 4x + 6y =8 9x 6y =18 + 13x = 26 x = 2 Substitute in the first equation x by 2 2(2) + 3y = 4 3y = 0 y = 0

    3. Example 2 Solve the following 2x+ 2x =10 X - 4y = 5 Multiply the first equation by 4 Multiply the second equation by 2 8x+ 8y =40 2x- 8y = 10 10x = 50 x = 5 Then substitute x by 5 in the first equation 2(5) + 2y = 10 10 + 2y =10 2y = 0 y = 0

    4. Exercise Solve the following simultaneously;

    5. Answers to Exercise 1. x= 3 2. x = 4 y =2 y = 2