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26 July, 08:33

Adriel is x years old and her younger sister is y years old. The sum of thei ages is 7. The difference of 3 times adriels age and her sisters age is 9. The related sum of the linear equation is x+y=7 3x-y=9. Solve the linear equations. Then find adriels age and her sisters age

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  1. 26 July, 11:27
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    set one of the equations to equal x or y

    (substitution method)

    x=7-y plug this into the other equation

    3 (7-y) - y=9 distribute

    21-3y-y=9 - -> 21-4y=9

    get y alone

    -4y=9-21--> - 4y=-12 divide by - 4 to solve

    y=3 sisters age

    plug this in to one of the equations to get Adriel's age

    x+3=7

    x=7-3

    x=4 Adriel's age
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