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How do you solve radical equations with variables on both sides?
First, get the radical by itself. Then, square both sides of the equation. Then just solve the rest.
How do you solve an equation with two different variables on one side?
You decide to solve for one of the variables, for example, for "y". What exactly you do would depend on how the variables are related. For example, if you have:x + y = 5 and you want to solve for "y", you subtract "x" on both sides. If you have a product, such as: xy = 10 you divide both sides by "x".
Why is it important to do the same things to both sides of an equation?
In an equation, the left side has the same value as the right side. The importance of doing the same thing to both sides is to keep the value of both sides the same so the equation does not change.
What does an equation and an inequality have in common?
They both have variables. They both have addition, subtraction, multiplication, and division.
Why is it important to keep both sides of the equation equal?
If both sides of an equation are not equal, it won't be an equation any more! In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation. You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.
