Question

Add the expressions 4 - 2/3b+ 1/4a and 1/2a + 1/6b - 7. What is the simplified sum?

Answer 1

3/4a-1/2b-3

Explanation:

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Answer 2

`(3)/(4)a-(1)/(2)b-3`

Explanation:

Given the expressions:
`4 -(2)/(3)b+(1)/(4)a $ and $ (1)/(2)a + (1)/(6)b - 7.`

We add:

`4 -(2)/(3)b+(1)/(4)a + (1)/(2)a + (1)/(6)b - 7\\\\$First, we reorder the terms$\\\\=4 - 7-(2)/(3)b+ (1)/(6)b+(1)/(4)a + (1)/(2)a \\\\=-3+((1)/(6)-(2)/(3))b+((1)/(4)+(1)/(2))a\\\\=-3-(1)/(2)b+(3)/(4)a\\\\=(3)/(4)a-(1)/(2)b-3`