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Cross multiplication
A method of simplifying an equation in order to solve it for a particular variable or unknown, or in order to show it in a form having fewer fraction. Multiplying (or dividing) both sides of an equation by the same amount does not change the nature of equation - that is, the two sides are still equal. For example, x, y and w are known values in the following equation,
multiplying both sides by y will produce:
You can then find x by substituting the three known values. You can also express the original equation without fractions, by multiplying both sides by y and then by z:
x = y × w/z
xz = wy
In each of these examples, cross multiplication was used to change the appearance of the equation.
- Part of Speech: noun
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- Industry/Domain: Mathematics
- Category: Algebra
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