Solving the Equation x+1=y-1: Simple Steps and Solutions

There are different ways to solve this equation, but one common method is to isolate one of the variables on one side of the equation and simplify. Here is one possible solution:

x + 1 = y - 1 (subtract 1 from both sides) x = y - 2 (subtract y from both sides)

This equation expresses x in terms of y. We can also express y in terms of x by isolating y:

x + 1 = y - 1 (add 1 to both sides) x + 2 = y (add x to both sides)

This equation expresses y in terms of x. Therefore, the solutions of the original equation are all pairs of numbers (x, y) that satisfy either of these equivalent expressions. For example, if x = 3, then y = x + 2 = 5, so (3, 5) is a solution. If y = 0, then x = y + 2 = 2, so (2, 0) is also a solution. We can check that both pairs satisfy the original equation:

3 + 1 = 4 = 5 - 1 2 + 1 = 3 = 0 + 1

Therefore, the solutions of the equation x + 1 = y - 1 are all pairs of the form (x, y) = (t + 2, t) or (x, y) = (t, t + 2), where t is any real number.