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(4+z-(3+2z))/(6) =(-z -3 (5-2))/(7) Wh...

`(4+z-(3+2z))/(6) =(-z -3 (5-2))/(7)`
What is the value of z in the equation above ?

A

`-61`

B

`-(61)/(27)`

C

`(61)/(27)`

D

`61`

Text Solution

Verified by Experts

The correct Answer is:
D
Simplify the numerators as much as possible, then isolate the variable. Begin by sombining like terms on both sides of the equation. The cross-multiply and solve for z:
`(4+z-(3+2z))/(6) =(-z -3 (5-2))/(7)`
`(1-z)/(6 ) =(-z-9)/(7)`
`7-7z=-6z-54`
`-z =-61`
`z =61`
Choice (D) is correct.
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