what values of x makes the equation -5x-(-7-4x)=-2(3x-4) true?

1 thought on “what values of x makes the equation -5x-(-7-4x)=-2(3x-4) true?”

1. Answer:

   (3x-y)/(x+y)=4/7

   3x-y=4

   x+y=7

   3x-y=4 implies y=3x-4

   substitute

   x+(3x-4)=7

   4x-4=7

   4x=11

   x=2.75

   y=7-2.75

   y=4.25

   check:

   [3(2.75)-4.25]/(2.75+4.25)=

   [8.25-4.25]/(2.75+4.25)=

   4/7

   so x=2.75 and y=4.25

   x/y=2.75/4.25

   x/y=275/425

   x/y=11/17

   or…

   cross multiply

   4(x+y)=7(3x-y)

   4x+4y=21x-7y

   7y+4y=21x-4x

   11y=17x

   divide both sides by y and then by 17

   11/17=x/y answer again

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