Question

Solve for r. Step by step
1/2r-3/4s=-2

Answer 1

`\cfrac{1}{2}r-\cfrac{3}{4}s=-2\implies \cfrac{r}{2}-\cfrac{3s}{4}=-2\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( \cfrac{r}{2}-\cfrac{3s}{4} \right)=4(-2)} \\\\\\ 2r-3s~~ = ~~-8\implies 2r=3s-8\implies r=\cfrac{3s-8}{2}\implies r=\cfrac{3s}{2}-4`