Find the solution set of the following equations: 2y=2x+7 X=y+2

Question

Find the solution set of the following equations:

2y=2x+7

X=y+2

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Helga 6 months 2021-07-22T15:36:40+00:00 1 Answers 5 views 0

Answers ( )

    0
    2021-07-22T15:38:38+00:00

    Answer:

    The system of equations has no solution.

    Step-by-step explanation:

    Given the system of equations

    2y = 2x+7

    x = y+2

    solving the system of equations

    \begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}

    Arrange equation variables for elimination

    \begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}

    Multiply -y+x=2 by 2:  -2y+2x=4

    \begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}

    so adding

    -2y+2x=4

    +

    \underline{2y-2x=7}

    0=11

    so the system of equations becomes

    \begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}

    0 = 11 is false, therefore the system of equations has no solution.

    Thus,

    No Solution!

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