Question

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions.
I have no idea?

Answer 1

An equation will have infinite solutions if the variable cancels out in the solving process AND whats left holds True.

Example:
3x + 5 = 4x -(x-5)

After simplifying:
3x+5 = 3x +5

Subtract 3x from both sides
5 = 5

This is True so there are infinite solutions, meaning any possible number for "x" will still make the equation True.