Question

Write an expression in the form ax+b, where a and b represent rational numbers, that is equivalent to 6 (-1/2x + 2) + 1/4 (18x-12)

I need this answered by today, please!!

Answer 1

`6x + 6`

Explanation:

Given

`6 (-(1)/(2)x + 2) + (1)/(2) (18x-12)`

Required

Express as
`ax + b`

We have:

`6 (-(1)/(2)x + 2) + (1)/(2) (18x-12)`

Open brackets

`6 (-(1)/(2)x + 2) + (1)/(2) (18x-12) = 6 *-(1)/(2)x + 6*2 + (1)/(2) *18x-(1)/(2) *12`

Evaluate all multiplications

`6 (-(1)/(2)x + 2) + (1)/(2) (18x-12) = -3x + 12 + 9x-6`

Collect like terms

`6 (-(1)/(2)x + 2) + (1)/(2) (18x-12) = 9x-3x + 12-6`

`6 (-(1)/(2)x + 2) + (1)/(2) (18x-12) = 6x +6`

Hence, the expression in form of
`ax + b` is
`6x + 6`