How to solve proportion?

Question

-b/2 = -6/4

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Answer 1 · 2018-04-05T02:28:21

$b=3$

$(-b)/2 = (-6)/4$
By cross-multiplication:
$-4b = -12$
$b = -12/-4$
$b = 3$

Answer 2 · 2018-04-05T02:33:53

See below.

To solve a proportion, we use the process known as "cross-multiplication ".

This process looks something like this:

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We are given the proportion:

$color(blue)(-b)/color(red)(2)=color(green)(-6)/color(purple)(4)$

Using the process of cross-multiplication, we should have:

$color(blue)(-b)/color(red)(2)=color(green)(-6)/color(purple)(4)$

$=> color(purple)(4)(color(blue)(-b))=color(red)(2)(color(green)(-6))$

$=> -4b=-12$

From here, we only need to solve for $b$ :

$-4b=-12$

$=> (-4b)/color(red)(-4)=-12/color(red)(-4)$

$=> b=3$