Question

Solve for k
7k+2m = kr + 4m + 3

Answer 1

`\large\boxed{k=(2m+3)/(7-r)\ \text{for}\ r\\eq7}`

Explanation:

`7k+2m=kr+4m+3\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\7k+2m-2m=kr+4m-2m+3\\\\7k=kr+2m+3\qquad\text{subtract}\ kr\ \text{from both sides}\\\\7k-kr=kr-kr+2m+3\\\\7k-kr=2m+3\qquad\text{distribute}\\\\k(7-r)=2m+3\qquad\text{divide both sides by}\ (7-r)\\eq0\\\\k=(2m+3)/(7-r)`