To solve the equation, we need to isolate the absolute value term.
First, let's add 5 to both sides of the equation:
2|5y - 6| - 5 + 5 = 7 + 5
2|5y - 6| = 12
Now, divide both sides of the equation by 2:
(2/2)|5y - 6| = 12/2
|5y - 6| = 6
To remove the absolute value, we can set up two separate equations, one for the positive value inside the absolute value and one for the negative value inside the absolute value.
1) 5y - 6 = 6
2) 5y - 6 = -6
For equation 1, add 6 to both sides:
5y - 6 + 6 = 6 + 6
5y = 12
Now divide both sides by 5:
(5/5)y = 12/5
y = 12/5
For equation 2, add 6 to both sides:
5y - 6 + 6 = -6 + 6
5y = 0
Now divide both sides by 5:
(5/5)y = 0/5
y = 0
So the solutions to the equation are y = 12/5 or y = 0.
The correct choice is:
A. y = 12/5, 0
Solve the equation. 2|5y - 6| - 5 = 7 Select the correct choice and, if necessary, fill in the answer box in your choice below.
O A. y = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There is no solution.
1 answer