equivalent equations
Rewrite the expressions, equations or inequalities where the constant takes the place of each occurrence of the variable.
It means that if you replace one variable with one of the numbers, and the other variable with the other numbers, and then evaluate the expressions on each side of the equations, the equalities will be true.
When given two names (variable expressions) for the same quantity, you can use algebra to solve the equation.
When given two names (variable expressions) for the same quantity, you can use algebra to solve the equation.
expressions don't have an equal sign and equations do
Equations are made from expressions.
They can but don't have to.
In the same way that you would solve equations because equivalent expressions are in effect equations
no algebraic expressions do not have equal signs but equations do.
These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.
Two expressions are "equivalent" if they have the same result for any values of the variable or variables.