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Welcome to our Math lesson on Overview, this is the first lesson of our suite of math lessons covering the topic of Identities, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
In previous tutorials, we dealt with equations, as mathematical sentences that have a true value assigned to them. This true value is placed on the other side of the equal sign, which acts as a border for the two parts of an equation. For example, in the equation 5 - 3x = 14, we have an algebraic expression (mathematical sentence) on the left (5 - 3x), an equal symbol ( = ) and the value of the mathematical sentence (14) written on the right of the equal symbol.
Obviously, the objective when dealing with an equation is to find the value of the variable(s) for which the two parts on either side of the 'equal' symbol have the same value. In our example, we must find the value of the variable 'x' for which the expression in the left part of the equation has the value 14, as indicated on the right. When solving this equation, we see find out that the value of 'x' must be -3, as 5 - 3 · (-3) = 5 + 9 = 14. Thus, as pointed out in tutorial 9.1, the value x = -3 represents the solution of this equation, otherwise known as the 'root' of the given equation.
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