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20 April, 06:45

2x+3y=12 and y=x+1.5 in substitution form

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  1. 20 April, 07:13
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    (1.5, 3)

    Step-by-step explanation:

    Given the 2 equations

    2x + 3y = 12 → (1)

    y = x + 1.5 → (2)

    Substitute y = x + 1. 5 into (1)

    2x + 3 (x + 1.5) = 12 ← distribute and simplify left side

    2x + 3x + 4.5 = 12

    5x + 4.5 = 12 (subtract 4.5 from both sides)

    5x = 7.5 (divide both sides by 5)

    x = 1.5

    Substitute x = 1.5 into (2) for corresponding value of y

    y = 1.5 + 1.5 = 3

    Solution is (1.5, 3)
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