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28 May, 15:12

Solve the system by substitution verify your solution by checking that it satisfies both equations of the system y=2x 3x-y=15

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  1. 28 May, 15:38
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    x = 15 and y = 30 is the solution of the given system of equations.

    Step-by-step explanation:

    The two sets of the equations are y = 2x and 3x - y = 15

    By the method of substitution,

    Substitute equation (1) : y = 2x in the equation (2) : 3x - y = 15

    ⇒ 3x - y = 15 substitutes in to 3x - (2x) = 15

    or, x = 15

    Since y = 2x ⇒ y = 2 x 15 = 30

    x = 15 and y = 30 is the solution of the given system of equations.

    CHECK: Put x = 15 and y = 30 is equation (2), we get

    3x - y = 3 (15) - 30 = 45 - 30 = 15 = Right hand side

    Hence the given solution satisfies the equation.
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