Question

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

A. 1 7/10x+2 1/2y+6
B. 7/10x+2 1/2y+6
C. 7/10x+8 1/2y+6
D. 1 7/10x+4 1/4y+3

Answer 1

"B"

Explanation:

Answer 2

Option B is correct.

Explanation:

`2((3)/(5)x+ 2(3)/(4)y-(1)/(4)x-1(1)/(2)y+3)`

We need to solve the above expression.

First Convert Mix fraction into improper fraction

`2((3)/(5)x+ 2(3)/(4)y-(1)/(4)x-1(1)/(2)y+3)\\=2((3)/(5)x+ (11)/(4)y-(1)/(4)x-(3)/(2)y+3)`

Combining the like terms

`=2((3)/(5)x-(1)/(4)x+ (11)/(4)y-(3)/(2)y+3)`

Solving like terms

`=2((3x*4-5x)/(20)+ (11y-3y*2)/(4)+3)\\=2((12x-5x)/(20)+ (11y-6y)/(4)+3)\\=2((7x)/(20)+ (5y)/(4)+3)`

Multiply each term with 2

`=2*(7x)/(20)+ 2*(5y)/(4)+2*3\\=(7x)/(10)+ (5y)/(2)+6`

`=(7x)/(10)+ 2(1)/(2)y+6`

So, Option B is correct.