cross multiplication method
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Step-by-step explanation:
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Steps to Solving Rational Equations Using Cross Multiplication
- Simplify the equation to get it in the form a/b = c/d, where a, b, c, and d are numbers, variables, or algebraic expressions.
- Use cross multiplication to rewrite the equation as ad = bc.
- Solve the resulting equation.
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Answer:
Step-by-step explanation:
Given an equation like:
{\displaystyle {\frac {a}{b}}={\frac {c}{d}}}\frac a b = \frac c d
(where b and d are not zero), one can cross-multiply to get:
{\displaystyle ad=bc\qquad \mathrm {or} \qquad a={\frac {bc}{d}}.}ad = bc \qquad \mathrm{or} \qquad a = \frac {bc} d.
In Euclidean geometry the same calculation can be achieved by considering the ratios as those of similar triangles.
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