To find the inverse of the equation 2x + 22 = 87y, we need to solve for y in terms of x. First, we start by isolating y on one side of the equation.
- Subtract 22 from both sides:
2x = 87y – 22
- Next, add 22 to both sides:
2x + 22 = 87y
- Now, divide both sides by 87 to solve for y:
y = (2x + 22) / 87
Now, to find the inverse, we swap x and y. This means we will replace y with x, and x with y:
x = (2y + 22) / 87
Finally, we can express the inverse equation:
y = (87x – 22) / 2
So, the inverse of the equation 2x + 22 = 87y is y = (87x – 22) / 2.