Find y x from 3 x + 3 y = y t = x t + 2.5 x I need to find the ratio of y x If given that 3 x + 3 y = y t = x t + 2.5 xSo what I tried is: t = 3 x + 3 y y And then put it in the equation x ( 3 x + 3 y ) y + 2.5 x = ( 3 x + 3 y ) y y x ( 3 x + 3 y ) y + 2.5 x = 3 x + 3 y 3 x 2 y + 3 y x y + 2.5 x = 3 x + 3 y 3 x 2 y + 3 x + 2.5 x = 3 x + 3 y 3 x 2 y + 2.5 x = 3 yHere I got stuck. I didn't know how to find the ratio. Can someone help me?

Question

Find       y    x   from   3  x  +  3  y  =  y  t  =  x  t  +  2.5  x I need to find the ratio of      y    x  If given that  3  x  +  3  y  =  y  t  =  x  t  +  2.5  xSo what I tried is:  t  =            3      x      +      3      y        y  And then put it in the equation            x      (      3      x      +      3      y      )        y    +  2.5  x  =            (      3      x      +      3      y      )        y    y            x      (      3      x      +      3      y      )        y    +  2.5  x  =  3  x  +  3  y            3              x        2              y    +            3      y      x        y    +  2.5  x  =  3  x  +  3  y            3              x        2              y    +  3  x  +  2.5  x  =  3  x  +  3  y            3              x        2              y    +  2.5  x  =  3  yHere I got stuck. I didn&#039;t know how to find the ratio. Can someone help me?

iceniessyoy · Accepted Answer

Assuming your calculations so far are correct (I didn&#039;t check), you are almost there. Divide both sides by   y, you will get            3              x        2                    y      2        +            2.5      x        y    =  3  ,a quadratic equation for       x    y  .

Hector Petersen · Accepted Answer

It is given that  3  x  +  3  y  =  y  t  =  x  t  +  2.5  xThis implies  t  =            3      x      +      3      y        y    =            0.5      x      +      3      y        x    ⇒  3      x    2    +  2.5  x  y  −  3      y    2    =  0  ⇒  −  3            (              y        x            )        2    +  2.5      y    x    +  3  =  0      y    x    =            −      2.5      ±              42.25                    −      6      Hence      y    x    =      3    2    ,            −      2        3

Find y x </mfrac> from 3 x + 3 y = y t = x t

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