Question

PLEASE SOLVE FOR VARIABLE

1. 18 = -6/7h

2. -3/4x = 21/8x

3. -1/2z = 5/12

Answer 1

1. -212. 03. -5/6

Explanation:

Answer 2

1. -21

2. 0

3.
`-(5)/(6)`

Explanation:

1. 18 =
`-(6)/(7) h`

multiply both sides by the reciprocal of -6/7.

`(-(7)/(6) )`18 =
`-(6)/(7) h`
`(-(7)/(6) )`

-21 = h

-------------------

2.
`-(3)/(4) x=(21)/(8) x`

find the LCM of both fractions.

LCM = 8

multiply both fractions by the LCM

`-(3)/(4) x(8)=(21)/(8) x(8)`

-6x = 21x

subtract 21x from both sides

-6x-21x = 21x-21x

-27x = 0

isolate x

-27x/-27 = 0

x = 0

-------------------

3.
`-(1)/(2) z=(5)/(12)`

multiply both sides by the reciprocal of -1/2.

`-(1)/(2) z(-2)=(5)/(12)(-2)`

z =
`-(5)/(6)`

hope this helps :)