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15 July, 05:18

Solve each system of equation using any method.

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

+2
Answers (1)
  1. 15 July, 07:29
    0
    x = 1

    y = - 2

    Step-by-step explanation:

    to solve this system of equation, simultaneously using the substitution method

    we say let

    7 x + y = 5 ... equation 1

    2x - y = 4 ... equation 2

    from equation 2

    2x - y = 4 ... equation 2

    2x - 4 = y

    y = 2x - 4 ... equation 3

    put the value of the y = 2x - 4 into equation 1

    7 x + y = 5 ... equation 1

    7x + 2x - 4 = 5

    9x-4 = 5

    9x = 5 + 4

    9x = 9

    divide both sides by the coefficient of x which is 9

    9x/9 = 9/9

    x = 1

    substitute the value of x = 1 into equation 3

    y = 2x - 4 ... equation 3

    y = 2 (1) - 4

    y = 2 - 4

    y = - 2

    to check if you are correct put the value of x and y into any of the equations and you will see that the left hand side will be equal to the right hand side.

    2x - y = 4 ... equation 2

    2 (1) - (-2) = 4

    2 + 2 = 4

    4=4 ... proved
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