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Solution - Linear equations with one unknown

Exact form:

x = \frac{12}{5}

x=\frac{12}{5}

Mixed number form:

x = 2 \frac{2}{5}

x=2\frac{2}{5}

Decimal form:

x = 2.4

x=2.4

See steps

Step-by-step explanation

1. Simplify the expression

$\frac{240}{x} = \frac{80}{0.8}$

Simplify the expression:

$\frac{240}{x} = 100$

2. Isolate the x

$\frac{240}{x} = 100$

Multiply both sides by $x$ :

$(\frac{240}{x}) x = 100 x$

Multiply the fraction(s):

$\frac{240 x}{x} = 100 x$

Simplify the arithmetic:

$240 = 100 x$

Swap sides:

$100 x = 240$

3. Isolate the x

$100 x = 240$

Divide both sides by 100:

$\frac{(100 x)}{100} = \frac{240}{100}$

Simplify the fraction:

$x = \frac{240}{100}$

Find the greatest common factor of the numerator and denominator:

$x = \frac{(12 \cdot 20)}{(5 \cdot 20)}$

Factor out and cancel the greatest common factor:

$x = \frac{12}{5}$

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Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

Terms and topics

Linear equations with one unknown