What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x – y = 4 intersect?

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What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x – y = 4 intersect?

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    2021-10-11T04:57:50+00:00

    2x + 3y = 12
    2x – y = 4 so y = 2x – 4

    substitute y = 2x – 4 into 2x + 3y = 12

    2x + 3y = 12
    2x + 3(2x – 4)= 12
    2x + 6x – 12 = 12
    8x = 24
    x = 3
    y = 2x – 4 = 2(3) – 4 = 2

    (3,2)

    answer
    the coordinates (3,2)

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