Q:

Solve for the indicated variable.

Accepted Solution

A:
There are several different ways in solving this problem. For example, we will use fractions. We will use the variable "[tex]x[/tex]" to solve.w = 4, Z = 12w = 6, Z = [tex]z[/tex]Step 1: Set up a fraction.Make sure the units are on the same level. For this case, w6 and w4 are on the bottom. Although they can be anywhere, they just have to be at the same level.[tex]\frac{12}{4} = \frac{z}{6}[/tex]Step 2: Solve for [tex]z[/tex]Divide the fraction[tex]\frac{12}{4} = \frac{z}{6}\\\\3 = \frac{z}{6}[/tex]Multiply 6 to both sides[tex]6\cdot[3 = \frac{z}{6}]\cdot6[/tex]6 cancels 6, so we are left with [tex]z[/tex]3 times 6 = 18[tex]18=z[/tex][tex]z=18[/tex]Therefore, z = 18