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An algebraic equation is a mathematical statement in which both sides of the equal signs, when calculated, are supposed to result in the same figure.<\/p>\nAn algebraic equation is a mathematical statement in which both sides of the equal signs, when calculated, are supposed to result in the same figure.<\/p>\n
For example:<\/p>\n
4a + 2a = 6<\/p>\n
In the above algebraic equation, the left and right of the equal sign are equal – thus, there is an equal sign between them.<\/p>\n
The word “equation” comes from “equal.”<\/p>\n
So therefore, an algebraic equation is a statement of equality.<\/p>\n
Usually, in an equation such as the one above, the “a” represents an unknown number.<\/p>\n
We call a the “variable.”<\/p>\n
Can you determine what “a” is?<\/p>\n
Let’s do this.<\/p>\n
4a really means 4 * a<\/p>\n
and 2a means 2 * a<\/p>\n
So then 4 * a + 2 * a = 6<\/p>\n
Common sense will tell you that 4 * 1 + 2 *1 = 6, therefore a = 6.<\/p>\n
However, there are prescribed steps to take when solving an algebraic equation.<\/p>\n
So let’s break this down.<\/p>\n
4a + 2a = 6<\/p>\n
=<\/p>\n
6a = 6<\/p>\n
= 6 * a = 6<\/p>\n
6 * x a = 6 is the same thing as a * 6 = 6<\/p>\n
So, let’s move the number six on the right of the equal sign to the left of the equal sign.<\/p>\n
When we move a number from one side of an equation to another, its value become the opposite.<\/p>\n
That is, a – 6 would become a + 6, and a * 6 would become a \/6<\/p>\n
So 6 * a = 6 is the same thing as a= 6\/6<\/p>\n
6\/6=1<\/p>\n
Therefore a = 1<\/p>\n
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