Simplify the expression: 4x - $\frac{3x + y}{8}$ - $\frac{x – 3y}{4}$

Simplify the expression:
4x - $\frac{3x + y}{8}$ - $\frac{x – 3y}{4}$

Answers

4x - $\frac{3x + y}{8}$ - $\frac{x – 3y}{4}$

Work out the brackets first

= $\frac{3x + y – 2 (x – 3y)}{8}$

= $\frac{3x + y – 2y + 6y}{8}$

= $\frac{x + 7y}{8}$

Therefor 4x – [$\frac{x + 7y}{8}$]

Remove the brackets

4x - $\frac{x}{8}$ - $\frac{7y}{8}$

= $\frac{32x – x – 7y}{8}$ = $\frac{31x – 7y}{8}$

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johnmulu answered the question on March 6, 2017 at 05:38

Next: The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction
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