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    Mathematics - Algebra - Systems of Equations

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    Find the solution to each system by the substitution method.

    1.5x -2y=8 1(5x)-1(2y)=1(8) 5x-2y=8
    3x - y=7 2(3x)-2(y)=2(7) 6x-2y=14
    11x =22

    X=
    Y=

    Find the solution to each system by the addition (elimination) method.
    2. 12x - 5y= -7 2(12x)-2(5y)= 2(-7) 24x-10y=14
    4x + 2y= 5 5(4x)+5(2y)=5(5) 20x + 10y=25
    44x =39
    x=
    y=
    If possible, solve each system of equations. Use any method.
    3. 8x - y=17 3(8x)-3(y)=3(17) 24x-3y=51
    4x + 3y=33 1(4x)+1(3y)=1(33) 4x+3y=33
    28x =84
    x= 3.5
    8(3.5)-y=17
    28-1y=17
    -1y= -16
    Y=16

    © BrainMass Inc. brainmass.com May 20, 2020, 5:28 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/mathematics-algebra-systems-equations-226227

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    (1) From the second equation, we get y = 3x - 7

    Plug this in place of y in the first equation. Then we have

    5x - 2(3x - 7) = 8

    5x - 6x + 14 = 8

    -x = -6

    x = 6

    y = 3(6) - 7 = 11

    The ...

    Solution Summary

    The expert examines systems of equations for mathematic algebra. A Complete, Neat and Step-by-step Solution is provided.

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