y=x+2 -3x + 3y = 6 How many solutions can be found for the system of linear equations represented on the graph?

Question

y=x+2
-3x + 3y = 6
How many solutions can be found for the system of linear equations represented on the graph?

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Ayla 1 month 2021-10-20T20:51:35+00:00 1 Answer 0 views 0

Answers ( )

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    2021-10-20T20:53:25+00:00

    The system of equations has infinitely many solutions

    Solution:

    Given system of equations are:

    y = x + 2 —— eqn 1

    -3x + 3y =  6 ——– eqn 2

    Solve the system of equations by substitution method

    Substitute eqn 1 in eqn 2

    -3x + 3(x + 2) = 6

    -3x + 3x + 6 = 6

    -3x + 3x = 6 – 6

    0 = 0

    If we end up with the same term on both sides of the equal sign, then we have infinite solutions

    Thus the system of equations has infinitely many solutions

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