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.

Question

anonymous · Answer

Have you tried looking at the topic of identities?

anonymous · Answer

no

anonymous · Answer

Try $$5x+2=5x+4-2$$

anonymous · Answer

Remember that an equation will have infinitely many solutions if both the left hand side and the right hand side are the same. For example, the above would simplify to 2=2. Try substituting x=1,2,3,4,5 for x in the equation I gave and you will find that the left hand side and the right hand side produce the same value. Hence the equation has infinitely many solutions.