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Math Help - solve using either addition or substitution

  1. #1
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    solve using either addition or substitution

    1. 10x + 2y = 7
    y = -5x + 3



    2. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?




    3. The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.
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  2. #2
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    hey soln to your problems

    1- you have the equns as

    10x+2y=7 and y=-5x+3

    In either of the method you have provided as options are not able to solve this question. Suppose you put y in the first equation, it would give 6=7 which is not really desired and true of course. Thus these equations have no solutions.

    2- As per the question let us assume the first candidate gets x number of votes and second y number of votes. Then you can write the equations as

    x-y = 220
    x+y = 810

    Then add these to get x=515 and subtract to get y=295.

    3- See if you assume l as length and b as breadth then you may get the equations as

    l=2+2*b
    2*(l+b)=34

    If you solve these equations by what ever method you know you will get l=12 inch and b=5 inch
    Last edited by ThePerfectHacker; April 4th 2007 at 05:36 PM.
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