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21 September, 06:36

3 х + 2y = 12 + у

4y - 7t = 10

Solving systems of equations

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Answers (1)
  1. 21 September, 08:21
    0
    numbers 3x + 2y = 12

    y = x + 1

    Substitution Method

    Since y is already isolated in the second equation we can use that value, to substitute for y in the first equation.

    3x + 2 (x + 1) = 12

    3x + 2x + 2 = 12

    5x = 12 - 2

    5x = 10

    x = 2

    Substitute the computed value of x to the second equation to determine the value of y.

    y = 2 + 1

    y = 3

    Elimination Method

    3x + 2y = 12

    x - y = - 1

    Multiply the second equation by 2 to eliminate

    x or you can also multiply the second equation by 3 to eliminate y. However since it is easier to multiply by 2, I will follow the first method.

    3x + 2y = 12

    2x - 2y = - 2

    Adding the two equations eliminates the y variable.

    5x = 10

    x = 2

    Substitute the computed value of x to the second equation to determine the value of y.

    y = 2 + 1

    y = 3

    Solution Set:

    (2,3)
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