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19 December, 19:17

What is the solution to this system of equations 3x+y=17 and x+2y=49

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  1. 19 December, 19:37
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    Answer:x=-3 y=26

    Step-by-step explanation:

    3x+y=17 ... (1)

    x+2y=49 ... (11)

    From (11) x=49-2y

    Substitute x=49-2y in 3x+y=17

    3 (49-2y) + y=17

    Open bracket

    147-6y+y=17

    147-5y=17

    Collect like terms

    5y=147-17

    5y=130

    Divide both sides by 5

    5y/5=130/5

    y=26

    Substitute y=26 in x+2y=49

    x+2 (26) = 49

    x+52=49

    Collect like terms

    x=49-52

    x=-3
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