algebra 1

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a 100- foot cable is cut into two pieces.the first piece is 18 ft longer than the second. how long is each piece

  • algebra 1 -

    Total length (given) ie. a+b = 100

    a = b + 18


    We can rewrite this b = a -18

    Now solve it the normal way.

    substitute for b in the first equation

    a + b = 100

    a + a - 18 = 100

    2a -18 = 100

    2a = 100 + 18

    2a = 118

    a = 59

    To get b:

    go to equation and apply value of a in b = a -18


    b = 59- 18

    ie. b = 41

    to verify:

    a + b should be = 100

    a= 59 b = 41

    59 + 41 = 100 !

    Bingo!

    Done! Hope this helps.

  • algebra 1 -

    The answer is 59 ft, 41 ft. X would equal 59 while y would equal 41

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