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3 years ago

Graph the linear equation

Mathematics

1 answer:

Shalnov [3]3 years ago

8 0

The easiest way to graph a line is in slope-intercept form. y=mx%2Bb
x-y=4
-y=-x%2B4
multiply by -1 because y must be positive
y=x-4
your slope of the line is 1
y-intercept is -4
The graph would look like:

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What are the x intercepts for 5/x + 1/3x = 4x/3

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$\bf \cfrac{5}{x}+\cfrac{1}{3}x=\cfrac{4x}{3}\implies \cfrac{5}{x}+\cfrac{x}{3}=\cfrac{4x}{3}$

now, the cheap answer will be, let's just get the LCD of all those fractions, hmm let's see is 3x, and multiply all the fractions by the LCD, that way, getting rid of the denominators.

$\bf \cfrac{5}{x}+\cfrac{1}{3}x=\cfrac{4x}{3}\implies \cfrac{5}{x}+\cfrac{x}{3}=\cfrac{4x}{3}\impliedby \times \stackrel{LCD}{3x}
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\boxed{3x}\cdot \cfrac{5}{x}+\boxed{3x}\cdot \cfrac{x}{3}=\boxed{3x}\cdot \cfrac{4x}{3}\implies 15+x^2=4x^2\implies 15=3x^2
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\cfrac{15}{3}=x^2\implies 5=x^2\implies \pm\sqrt{5}=x$

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