Question

For the equation below, y=82. Find the value of x.
y=2/5(x-28)-40

Answer 1

To find the value of x given that y=82 in the equation y=2/5(x-28)-40, solve the equation step-by-step to isolate x, eventually resulting in x=333.

Step-by-step explanation:

To find the value of x when y=82 in the equation y=2/5(x-28)-40, follow these steps:

1. Plug the value of y into the equation: 82 = 2/5(x-28) - 40.
2. Start by adding 40 to both sides of the equation to isolate the term involving x: 82 + 40 = 2/5(x-28).
3. This simplifies to: 122 = 2/5(x-28).
4. Multiply both sides by 5/2 to solve for x-28: 122 * 5/2 = x - 28.
5. This results in: 305 = x - 28.
6. Finally, add 28 to both sides to find the value of x: x = 305 + 28, which gives us x = 333.

Therefore, the value of x when y=82 is 333.