Question

Which value for x makes the sentence true?2/3x + 4 = 7

Answer 1

Explanation:

To find the value of x that makes the sentence true, we first subtract 4 form both sides to get

`(2)/(3)x+4-4=7-4`
`(2)/(3)x=3`

multiplying both sides by 3 gives

`(2)/(3)x\cdot3=3\cdot3`
`2x=9`

Finally, dividing both sides by 2 gives

`(2x)/(2)=(9)/(2)`
`x=(9)/(2)`

which is our answer!

Hence, the value of 9/2 for x makes the statement true.