k+7\k+9=k+8/k+5

Question

Solve the equation. Check the solution. 

 

Answer 1

Mya, when you see an equation like this, the goal is to get get rid of the variables in the denominators and put them into the numerator. For this equation, multiply both sides by k in which makes it: k^2+7+9k=k^2+8+5k It turns out the k^2 drops out each have the same coefficient on both sides of the equation. 7+9k =8+5k -7-5k -7-5k ------------- 4k=1 Divide both sides of the equation by 4 k=1/4 7/1/4+9=8/1/4+5 7*4+9=8*4+5 28+9=32+5 37=37 Hence, this checks.