Question

I)1-2(2x+1)=1-(x-1)
ii)3.6x-6.1=5.9_2.4x
question from equation and inequality​

Answer 1

1..
`x = -1`

2..
`x =2`

Step-by-step explanation:

Given

`i).\ 1-2(2x+1)=1-(x-1)`

`ii).\ 3.6x-6.1=5.9-2.4x`

Solving (i):

`1-2(2x+1)=1-(x-1)`

Subtract 1 from both sides

`1-1-2(2x+1)=1-1-(x-1)`

`-2(2x+1)=-(x-1)`

Open brackets

`-4x -2 = -x + 1`

Collect Like Terms

`x - 4x =2+1`

`-3x = 3`

Divide both sides by -3

`x = (3)/(-3)`

`x = -1`

Solving (ii):

`3.6x-6.1=5.9-2.4x`

Collect Like Terms

`2.4x+3.6x=5.9+6.1`

`6x=12`

Divide both sides by 6

`x = (12)/(6)`

`x =2`