Question

If y=2-3x/x+3 express x in terms of y [20pts]

Answer 1

Answer:

  a. x = (2 -3y)/(y+3)

  b. x = -4/5

Step-by-step explanation:

a.

Clear the fraction, collect x terms, divide by the coefficient of x.

  $y=\dfrac{2-3x}{x+3}\\\\y(x+3)=2-3x\\\\3x+xy=2-3y\qquad\text{add 3x-3y }\\\\x(y+3)=2-3y\qquad\text{factor out x}\\\\\boxed{x=\dfrac{2-3y}{y+3}}\qquad\text{divide by the coefficient of x}$

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b.

Put 2 where y is and do the arithmetic.

  x = (2 -3(2))/(2 +3) = (2 -6)/5

  x = -4/5