Solve the equation (if possible). (If an answer does not exist, enter DNE.)
(15 +y) / (y) + (36+y) / (y) =155
(15 +y) / (y) + (36+y) / (y) =155
multiply each term by y
15+y + 36+y = 155y
continue
51 +y = 155y
51 = 155y -y
51=154y
0.33=y
now how do i get the restriction
hello, why no response
as with all of these rational functions, the restrictions are all values where the denominator is zero.
Because division by zero is undefined.
To solve the equation (15 + y) / y + (36 + y) / y = 155, we can start by simplifying the equation.
Step 1: Combine the fractions on the left side of the equation by finding a common denominator.
((15 + y) + (36 + y)) / y = 155
Step 2: Simplify the equation by combining like terms.
(15 + y + 36 + y) / y = 155
(51 + 2y) / y = 155
Step 3: Multiply both sides of the equation by y to eliminate the denominator.
51 + 2y = 155y
Step 4: Move all the terms containing y to one side of the equation.
51 = 155y - 2y
51 = 153y
Step 5: Divide both sides of the equation by 153 to solve for y.
51 / 153 = y
1/3 = y
Therefore, the solution to the equation is y = 1/3.