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27 August, 06:16

James used a substitution to solve this system of equations. Which equation could be a result of his first step? 2x+3y=12 y=x+1.5

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  1. 27 August, 07:05
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    x = 1.5

    y = 3

    Step-by-step explanation:

    to solve this system of equation using the substitution methods we say let

    2x+3y=12 ... equation 1

    y=x+1.5 ... equation 2

    substitute equation 2 into equation 1

    2x+3y=12 ... equation 1

    2x + 3 (x + 1.5) = 12

    2x + 3x + 4.5 = 12

    5x + 4.5 = 12

    collect the like terms

    5x = 12 - 4.5

    5x = 7.5

    divide both sides by the coefficient of x which is 5

    5x/5 = 7.5/5

    x = 1.5

    put x = 1.5 into equation 2

    y=x+1.5 ... equation 2

    y = 1.5 + 1.5

    y = 3

    therefore the value of x = 1.5 and y = 3 respectively.
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