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mel-nik [20]
3 years ago
11

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

Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

  a. x = (2 -3y)/(y+3)

  b. x = -4/5

Step-by-step explanation:

<h3>a.</h3>

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}

__

<h3>b.</h3>

Put 2 where y is and do the arithmetic.

  x = (2 -3(2))/(2 +3) = (2 -6)/5

  x = -4/5

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