Explore BrainMass
Share

Explore BrainMass

    Solving Simultaneous Equations by Substitution Method

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Solve each system of equations by substitution method. Show work by step by step solutions.

    1) x + 3y = 2
    3x + 9y = 6

    2) 4x - 2y = 2
    2x - y = 1

    3) x/4 - y/4 = -1
    x + 4y = -9

    4) x/6 - y/2 = 1/3
    x + 2y = -3

    5) 2x = 3y + 4
    4x = 3 - 5y

    6) 4x = 3y + 8
    2x = -14 + 5y

    © BrainMass Inc. brainmass.com October 9, 2019, 11:56 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/solving-simultaneous-equations-substitution-method-273315

    Attachments

    Solution Preview

    Solutions:

    1) x + 3y = 2 - [A]
    3x + 9y = 6 - [B]

    Multiplying [A] with 3, we get 3x +9y = 6 which is the same equation as that of [B]. Therefore, this pair of simultaneous equations have no solution.

    2) 4x - 2y = 2 [A]
    2x - y = 1 [B]

    Multiplying [B] with 2, we get 4x -2y = 2 which is the same equation as that of [A]. Therefore, this pair of simultaneous equations have no solution.

    3) x - y = -1 [A]
    4 4

    x + 4y = -9 [B]

    ...

    Solution Summary

    This solution is comprised of a detailed step-by-step calculation of the given word problems and provides students with a clear perspective of solving linear simultaneous equations in Algebra.

    $2.19