Question

When 2(3/5x+2 3/4y-1/4x-1 1/2y+3) is simplified, what is the resulting expression?

Answer 1

Answer:

Option B is correct.

Step-by-step explanation:

$2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)$

We need to solve the above expression.

First Convert Mix fraction into improper fraction

$2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)\\=2(\frac{3}{5}x+ \frac{11}{4}y-\frac{1}{4}x-\frac{3}{2}y+3)$

Combining the like terms

$=2(\frac{3}{5}x-\frac{1}{4}x+ \frac{11}{4}y-\frac{3}{2}y+3)$

Solving like terms

$=2(\frac{3x*4-5x}{20}+ \frac{11y-3y*2}{4}+3)\\=2(\frac{12x-5x}{20}+ \frac{11y-6y}{4}+3)\\=2(\frac{7x}{20}+ \frac{5y}{4}+3)$

Multiply each term with 2

$=2*\frac{7x}{20}+ 2*\frac{5y}{4}+2*3\\=\frac{7x}{10}+ \frac{5y}{2}+6$

$=\frac{7x}{10}+ 2\frac{1}{2}y+6$

So, Option B is correct.