Question

Maths equations questions

Answer 1

x=2/3

Explanation:

3x/2-1/2=1/3+x/4

3x/2-x/4=1/3+1/2

6x/4-x/4=2/6+3/6

5x/4=5/6

5x=5/6*4

x=5/6*4/5

x=2/3

Answer 2

x =
`(2)/(3)`

Explanation:

Given

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

Multiply through by 12 ( the LCM of 2, 3 and 4 ) to clear the fractions

18x - 6 = 4 + 3x ( subtract 3x from both sides )

15x - 6 = 4 ( add 6 to both sides )

15x = 10 ( divide both sides by 15 )

x =
`(10)/(15)` =
`(2)/(3)`