Question

Solving equations containing rational expressions , the awnser is -8 but I need the steps on how to get to that awnser in this problem 2y over y+4 plus 4 over y+4 = 3

Answer 1

To solve the equation 2y/(y+4) + 4/(y+4) = 3, we can combine the fractions by finding a common denominator. The common denominator is (y+4). Then, we can add the numerators together. So, we have (2y + 4)/(y+4) = 3. Next, we can cross multiply to eliminate the denominator. That gives us 2y + 4 = 3(y+4). Simplifying further, we get 2y + 4 = 3y + 12. Now, we can solve for y by moving all the terms with y to one side and the constants to the other side. Finally, we get y = -8.