Solve the equation.

Question

4|2y-5|-7=17

Select the correct choice​ and, if​ necessary, fill in the answer box in your choice below.

y=

There is no solution.

Answer 1

To solve the equation, we can isolate the absolute value term by adding 7 to both sides of the equation:

4|2y-5| = 24

Next, we divide both sides of the equation by 4 to find the absolute value expression:

|2y-5| = 6

This equation can be rewritten as two separate equations without the absolute value:

2y-5 = 6 or 2y-5 = -6

Solving the first equation, we add 5 to both sides:

2y = 11

Dividing both sides by 2, we find:

y = 11/2

Solving the second equation, we add 5 to both sides:

2y = -1

Dividing both sides by 2, we find:

y = -1/2

Therefore, the solutions to the equation are y = 11/2 and y = -1/2.

Answer: y = 11/2, -1/2