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3 years ago

Solve for x

1" title=" \frac{x}{a} = \frac{x}{b} " alt=" \frac{x}{a} = \frac{x}{b} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

lesya [120]3 years ago

6 0

$Domain:\ a\neq0\ \wedge\ b\neq0$

$\dfrac{x}{a}=\dfrac{x}{b}\qquad|\text{cross multiply}\\\\bx=ax\qquad|\text{subtract ax from both sides}\\\\bx-ax=0\\\\x(b-a)=0\qquad|\text{divide both sides by }\ b-a\neq0\\\\x=0$

$\dfrac{x}{a}=\dfrac{x}{b}\\\\if\ a\neq b\ then\ x=0\\\\if\ a=b\ then\ x\in\mathbb{R}$

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A flatbed truck travels 144 miles in 5 hours. A semi-trailer truck travels 327 miles in 4 hours. A tanker truck travels 589 mile

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<u>The semi-trailer truck has the fastest average speed</u>

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<u>The semi-trailer truck has the fastest average speed</u>

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Learn more about the credit card here:

brainly.com/question/27350251

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