Question

What is the value of z for the equation 1/2z = -3/4 + 1/4z? -3 -1 1 3

Answer 1

Answer:

$z=-3$

Step-by-step explanation:

$\frac{1}{2}z=-\frac{3}{4}+\frac{1}{4}z\\\mathrm{Subtract\:}\frac{1}{4}z\mathrm{\:from\:both\:sides}\\\frac{1}{2}z-\frac{1}{4}z=-\frac{3}{4}+\frac{1}{4}z-\frac{1}{4}z\\\mathrm{Simplify}\\\frac{1}{2}z-\frac{1}{4}z=-\frac{3}{4}+\frac{1}{4}z-\frac{1}{4}z\\\mathrm{Simplify\:}\frac{1}{2}z-\frac{1}{4}z:\quad \frac{1}{4}z\\\mathrm{Simplify\:}-\frac{3}{4}+\frac{1}{4}z-\frac{1}{4}z:\quad -\frac{3}{4}\\\frac{1}{4}z=-\frac{3}{4}\\\mathrm{Multiply\:both\:sides\:by\:}4$

$4\cdot \frac{1}{4}z=4\left(-\frac{3}{4}\right)\\Simplify\\4\cdot \frac{1}{4}z=4\left(-\frac{3}{4}\right)\\\mathrm{Simplify\:}4\cdot \frac{1}{4}z:\quad z\\\mathrm{Simplify\:}4\left(-\frac{3}{4}\right):\quad -3\\z=-3$

Answer 2

Answer:

z= -3

Step-by-step explanation:

$\frac{1}{2} z$ = $\frac{-3}{4} + \frac{1}{4} z$

$\frac{1}{2} z - \frac{1}{4} z$ = $\frac{-3}{4}$

$\frac{2z - z}{4} = \frac{-3}{4}$

$\frac{z}{4} = \frac{-3}{4}$

4z = -3×4

4z = -12

$\frac{4z}{4} = \frac{-12}{4}$

z = -3

Hope this helps!!!