They both have algebraic terms but an expression does not contain an equality sign whereas an equation does contain an equality sign
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They are called: Identical equations or IdentitiesSee: http://www.tutorvista.com/search/value-algebraic-expressions-33 - -7 = ss = -26
Algebraic expressions are terms that do not include an equality sign
Yes. That is the definition of an algebraic expression.
Only like terms can be subtracted or added in algebraic expressions.
An expression is the algebraic representation of a number - an expression has a numeric value.An equation is an algebraic statement claiming that two expressions have the same numeric value. The equation has a Boolean value (true or false).If two equations can be expressed in an identical manner (the same expression on both sides) - then these equations are the same equation.In order for a system of equations to have a solution, the number of different equations in the system must be equal to the number of variables in the system. If there are more distinct equations than there are variables, than the system has no solution. If there are less, then the system may have no solution, or infinitely many solutions.In the case described there is most likely an infinite number of solutions