Answer:
[tex]w =\frac{3z + y}{4}[/tex]
Step-by-step explanation:
Given
[tex]4w-y=3z[/tex]
Required
Solve for w
[tex]4w-y=3z[/tex]
To solve for w, we simply make w the subject of formula;
Start by adding y to both sides
[tex]4w-y+y=3z + y[/tex]
[tex]4w=3z + y[/tex]
Divide both sides by 4
[tex]\frac{4w}{4} =\frac{3z + y}{4}[/tex]
[tex]w =\frac{3z + y}{4}[/tex]
Hence, the value of w is: [tex]\frac{3z + y}{4}[/tex]