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18 April, 08:38

For the following questions, use the system of equations. 3x + 2y = 14, 2x - 4y = 4. A. Solve the system of equations using either the substitution method or the multiplication/addition method? B. Check your solution by writing the system as a matrix equation and using the inverse matrix.

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  1. 18 April, 08:49
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    not the matrix equation but this works

    x=4, y=1

    Step-by-step explanation:

    2x-4y=4 (original equation)

    2 (3x+2y=14) (do this so that you can subtract or add - it's still equal)

    2x-4y=4 (original equation)

    6x+4y=28 (after multiplying)

    8x=32 (add 2 equations together to cancel out 4y, can also subtract)

    x=4 (division)

    2 (4) - 4y=4 (substitution)

    8-4y=4 (multiplication)

    4y=4 (addition/subtraction)

    y=1 (division)
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