Question

Solve the equation 4+3x-1/2=9 .Explain the reasons why you chose your solution method.

Answer 1

x = 5

Explanation:

that would look like this:

`(4+3x-1)/(2)=9`

first, to remove the denominator (2), we should multiply both sides by 2. therefore, we get:

4 + 3x - 1 = 18.

now, we transpose 4 and -1 to the other side, in order to isolate 3x.

3x = 18 + 1 - 4

3x = 15

to find x, we divide both sides by 3. therefore, we get:

x = 5

Answer 2

Explanation:

`4 + 3x - (1)/(2)=9`

Subtract 4 from both the sides

`3x - (1)/(2)=9 - 4\\\\3x - (1)/(2)= 5`

Add (1/2) to both sides

`3x = 5 + (1)/(2)\\\\3x = (5*2)/(1*2)+(1)/(2)\\\\3x=(10)/(2)+(1)/(2)\\\\3x=(10+1)/(2)\\\\3x=(11)/(2)\\\\x=(11)/(2*3)\\\\x=(11)/(6)`