O Level Maths Notes: Solving Linear equations
The simplest linear
equations are very easy to solve if you need to solve the equation
to find
just
make
the
subject:
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Add 3 to both sides
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Divide by 9
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Slightly more complicated
equations have two terms involving
These
may both on the same sides, or one term on each side.
If they are the same same we collect like terms then solve as above:
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Collect like terms to give![]()
Now solve as in above. First subtract 7.
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Divide by 7
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If the x terms are on opposite sides then we have to move them to the same side. YOU MUST MAKE SURE THAT IF A TERM CHANGES SIDE IT CHANGES SIGN!
Example
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If the equation has fractions the best strategy is to clear all the fractions.
Example:
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To clear all the fractions
we multiply by the product of the denominators. In this case we
multiply by![]()
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Expand the brackets
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Now divide by![]()
Example
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The product of the denominators is 2*5=10.
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