How do you cross multiply $\frac{4 x}{x + 2} = \frac{5}{9}$ $\frac{4x}{x+2}=\frac{5}{9}$ ?

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How do you cross multiply $\frac{4 x}{x + 2} = \frac{5}{9}$ $\frac{4x}{x+2}=\frac{5}{9}$ ?

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Answer 1 · 2014-10-27T17:24:05

In cross-multiplication, we multiply the numerator of each (or one) side by the denominator of the other side. This could be represented as:
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So, in this case,

$\frac{4 x}{x + 2} = \frac{5}{9}$ $(4x)/(x+2)=5/9$

By cross multiplication,

$9 \cdot (4 x) = 5 \cdot (x + 2)$ $9*(4x)=5*(x+2)$

$36 x = 5 x + 5 \cdot (2)$ $36x=5x + 5*(2)$

$36 x - 5 x = 10$ $36x-5x=10$

$31 x = 5$ $31x=5$

$x = \frac{5}{31}$ $x=5/31$

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How do you cross multiply $\frac{4 x}{x + 2} = \frac{5}{9}$ $\frac{4x}{x+2}=\frac{5}{9}$ ?

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How do you cross multiply $\frac{4 x}{x + 2} = \frac{5}{9}$ $\frac{4x}{x+2}=\frac{5}{9}$ ?