Respuesta :

Answer:

[tex]z=-3[/tex]

Step-by-step explanation:

[tex]\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[/tex]

[tex]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[/tex]

Janessa07

Answer:

z= -3

Step-by-step explanation:

[tex]\frac{1}{2} z[/tex] = [tex]\frac{-3}{4} + \frac{1}{4} z[/tex]

[tex]\frac{1}{2} z - \frac{1}{4} z[/tex] = [tex]\frac{-3}{4}[/tex]

[tex]\frac{2z - z}{4} = \frac{-3}{4}[/tex]

[tex]\frac{z}{4} = \frac{-3}{4}[/tex]

4z = -3×4

4z = -12

[tex]\frac{4z}{4} = \frac{-12}{4}[/tex]

z = -3

Hope this helps!!!

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