Question

What is the value of z for the equation 1/4z = –7/8 + 1/8z? –3 –7 3 7

(the numbers/numbers are fractions)

Answer 1

The first step for solving this equation is to determine the defined range.

`(1)/(4z) = - (7)/(8) + (1)/(8z)`, z ≠ 0
Move the expression
`(1)/(8z)` to the left side of the equation and change its sign.

`(1)/(4z)` -
`(1)/(8z)` =
`- (7)/(8)`
Now we need to write all numerators above the least common denominator of 8z. This will change the equation to the following:

`(1)/(8z)` =
`- (7)/(8)`
Simplify the equation using cross multiplication.
8 = -56z
Switch the sides of the equation.
-56z = 8
Divide both sides of the equation by -56.

`z = -(1)/(7)`, z ≠ 0
Lastly,, check if the solution is in the defined range to get your final answer.

`z = -(1)/(7)`
Let me know if you have any further questions.
:)