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.
[tex]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}[/tex]
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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
