Math

How to solve the simultaneous equations 3x + y = 17 and y = x + 1 ?

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asked by Katie
  1. There are a few ways to do this. In this case the easiest is probably substituting y in the first equation for x+1

    so

    3x + (x + 1) =17

    remove the brackets

    3x + x + 1 = 17

    combine the x terms

    4x + 1 = 17

    move the 1 from the LHS to the RHS

    4x +1 -1 = 17 - 1

    4x = 16

    divide both sides by 4

    4x/4 = 16/4

    x=4

    as

    y=x+1

    y= 4 + 1

    y=5

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    posted by Dr Russ

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