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Lunna [17]
3 years ago
13

6x-1/5 = 3/1 Solve for x in simplest form.

Mathematics
2 answers:
lawyer [7]3 years ago
8 0
6x-1/5=3
add 1/5 to both sides
6x=1/5+3
convert 3 to fraction with 5 as denomenatory
3/1 times 5/5=15/5
6x=15/5+1/5
6x=16/5
divide both sides by 6
x=16/5 times 1/6
x=16/30
x=8/15
Helga [31]3 years ago
3 0
Solution

1) Simplify \frac{3}{1}<span> to 3
</span><span>6x− </span>\frac{1}{5} ⇒ <span>3
</span>
2) Add \frac{1}{5}<span> to each side
</span>6x⇒ 3+ \frac{1}{5}

3) <span>Simplify 3+ </span>\frac{1}{5} <span> to </span>\frac{16}{5}
6x⇒ \frac{16}{5}

4) <span>Divide each side by 6
</span>x⇒\frac{16}{5 x 6}

5) <span>Simplify <span>5×6</span> to 30
</span>x⇒\frac{16}{30}

6) Simplify \frac{16}{30}<span>  to </span>\frac{8}{15}
x⇒ \frac{8}{15}

⇒ \frac{8}{15}  ANSWER 
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Answer:

x - a smaller number

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Step-by-step explanation:

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Answer:

The answer is

<h2>( - 5 \: , \:  -  \frac{15}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )</h3>

where

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From the question the points are

(-4, -9), (-6, -6)

The midpoint is

<h3>M = ( \frac{ - 4 - 6}{2}  , \:  \frac{ - 9 - 6}{2} ) \\  = ( -  \frac{10}{2} , -  \frac{15}{2} )</h3>

We have the final answer as

<h3>( - 5 \: , \:  -  \frac{15}{2} )</h3>

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