To evaluate means to find the value. Substitute the values of the variables and calculate the value. [You may need to solve for the values of the variables first.]
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CPUs, when given mathematical equations, apply the laws of mathematics to those equations. The equation a = a is true by the reflexive property of equality.
You substitute the value of the variable into the quadratic equation and evaluate the expression.
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.
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
Equivalent equations are equations that have the same solution set.