Answer:
y = (5k -3)/(1 -k)
Step-by-step explanation:
(y +3)/(y +5) = k/1
y +3 = k(y +5) . . . . . multiply by (y+5)
y +3 = ky +5k . . . . . eliminate parentheses
y -ky = 5k -3 . . . . . . subtract (ky+3)
y(1 -k) = 5k -3 . . . . . factor out y
y = (5k -3)/(1 -k) . . . . divide by the coefficient of y
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Additional comment
When this is written in plain text, as above, the parentheses are essential grouping symbols for the numerator and denominator. If the equation is typeset:
[tex]y=\dfrac{5k-3}{1-k}[/tex]
then no parentheses are required, because the fraction bar serves to identify the numerator and denominator expressions.
When written without parentheses,
y = 5k -3/1 -k = 5k -(3/1) -k = 4k -3 . . . . not the same as above
