Question

3/4x + 2/3y - 3/8x + 1/2y

Answer 1

`(3)/(8) x+(7)/(6) y`.

Explanation:

1. Write the expression.

`3/4x + 2/3y - 3/8x + 1/2y`

2. Operate with like terms.

a) First, start by operating with the terms that contain the "x" variable.

`3/4x- 3/8x\\ \\(3)/(4)x-(3)/(8)x\\ \\ (3*2)/(4*2)x-(3)/(8)x\\ \\(6)/(8)x-(3)/(8)x\\ \\x((6)/(8) -(3)/(8) )\\ \\x((6-3)/(8) )\\ \\x((3)/(8) )\\ \\(3)/(8)x`

b) Start with terms containing "y".

`2/3y+1/2y\\ \\(2)/(3)y +(1)/(2) y\\ \\(2*2)/(3*2)y +(1*3)/(2*3) y\\ \\(4)/(6)y +(3)/(6) y\\ \\y((4+3)/(6))\\ \\y((7)/(6))\\ \\(7)/(6) y`

3. Put the terms together.

`(3)/(8) x+(7)/(6) y`.