Question

Explain how to get x=3 from the equation:
(5x - 1)/2 + (-3x - 1)/4 = 9/2

Answer 1

\[\frac{5x-1}{2} + \frac{-3x-1}{4} = \frac92\]that?

Answer 2

Yes

Answer 3

Ok,
find the LCD of the left side. it will be 4.
so we can write as,
\[\frac{2(5x-1) +(-3x - 1)}{4} = \frac92\]Agree?

Answer 4

Okay..

Answer 5

Now try solving further..

Answer 6

Simplify the top?

Answer 7

Yes.

Answer 8

\[(10x-1) +(-3x-1)/4 =9/2\]

Answer 9

a mistake,
it's 10x - 2

Answer 10

oh yeah, that's what I meant haha

Answer 11

ok.. move forward..

Answer 12

\[7x-3/4 = 9/2\]

Answer 13

good going.. now cross multiply.