Does an equation always have a solution? Could you come up w / an equation that does not have a solution? If yes, explain why this equation does not have a solution?

An equation does not always have a solution. Sometimes, an equation can have a variable that does not equal the remaining value on the other side. For example, root negative x could never equal a number squared.

√-x ≠ 14²

This equation cannot have a solution because you can't square any number to get a negative solution. Therefore, x = no solution.

No an equation doesn't always have a solution. An example would be 2x+3=2x+7

To solve this you would subtract 2x on each side, which that would give you 3=7 therefore that equation has no solution