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Math Help - Find x and y so each statement about vectors is true

  1. #1
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    Find x and y so each statement about vectors is true

    So far, I have gone from the original problem
    6<5x-7,5>-8<12,7-3y>= -10<5x+2,6y-1>
    to here:
    <30x-42,30>-<96,56+24y>=<-50x+20,-60y+10>
    <(30x-42)-(96),(30)+ (56+24y)>=<-50x+20,-60y+10>


    Am i right? I think the answers are x=59/40 and y=3/7
    I have no clue what to do?
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  2. #2
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    Quote Originally Posted by dancerforlife View Post
    So far, I have gone from the original problem
    6<5x-7,5>-8<12,7-3y>= -10<5x+2,6y-1>
    to here:
    <30x-42,30>-<96,56-24y>=<-50x-20,-60y+10> <<<<<<<<<
    <(30x-42)-(96),(30)- (56-24y)>=<-50x-20,-60y+10> <<<<<<<<<


    Am i right? I think the answers are x=59/40 and y=3/7
    I have no clue what to do?
    1. I've marked in red (hard to detect, sorry) the wrong signs.

    2. Split the 2 vectors into their components:

    \begin{array}{l}30x-42 = -50x-20~\implies~80x = 22~\implies~x = \dfrac{11}{40} \\<br />
30-(56-24y)=-60y+10~\implies~84y = 36~\implies~y = \dfrac{3}{7}\end{array}
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