Question

slove the following equations n/5 - 5/7 =2/3​

Answer 1

Answer:

5

−

1

⋅

5

7

=

2

3

\frac{n}{5}-1 \cdot \frac{5}{7}=\frac{2}{3}

5n−1⋅75=32

Solve

1

Multiply the numbers

5

−

1

⋅

5

7

=

2

3

\frac{n}{5}{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{5}{7}}}=\frac{2}{3}

5n−1⋅75=32

5

−

5

7

=

2

3

\frac{n}{5}{\color{#c92786}{-\frac{5}{7}}}=\frac{2}{3}

5n−75=32

2

Find common denominator

3

Combine fractions with common denominator

6 more steps

Solution

=

1

4

5

2

1

Answer 2

Answer:

$5−1⋅57=23</p><p></p><p>\frac{n}{5}{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{5}{7}}}=\frac{2}{3}5n−1⋅75=32</p><p></p><p>5−57=23 \\ </p><p></p><p> {multiply \: the \: number}$

$Find common denominator</p><p></p><p>5−57=23</p><p></p><p>\frac{n}{5}-\frac{5}{7}=\frac{2}{3}5n−75=32</p><p></p><p>5+5(−57)5=23</p><p></p><p>$

$Combine fractions with common denominator</p><p></p><p>5+5(−57)5=23</p><p></p><p>\frac{n}{5}+\frac{5\left(-\frac{5}{7}\right)}{5}=\frac{2}{3}5n+55(−75)=32</p><p></p><p>+5(−57)5=23</p><p></p><p>$

$Multiply the numbers</p><p></p><p>+5(−57)5=23</p><p></p><p>\frac{n+{\color{#c92786}{5}}\left({\color{#c92786}{-\frac{5}{7}}}\right)}{5}=\frac{2}{3}5n+5(−75)=32</p><p></p><p>−2575=23</p><p></p><p>\frac{n{\color{#c92786}{-\frac{25}{7}}}}{5}=\frac{2}{3}5n−725=32</p><p></p><p>5</p><p></p><p>$

$Multiply all terms by the same value to eliminate fraction denominators</p><p></p><p>−2575=23</p><p></p><p>\frac{n-\frac{25}{7}}{5}=\frac{2}{3}5n−725=32</p><p></p><p>5⋅−2575=5⋅23</p><p></p><p>$

$Cancel multiplied terms that are in the denominator</p><p></p><p>5⋅−2575=5⋅23</p><p></p><p>5 \cdot \frac{n-\frac{25}{7}}{5}=5 \cdot \frac{2}{3}5⋅5n−725=5⋅32</p><p></p><p>−257=5⋅23</p><p></p><p>$

$Multiply the numbers</p><p></p><p>−257=5⋅23</p><p></p><p>n-\frac{25}{7}={\color{#c92786}{5}} \cdot {\color{#c92786}{\frac{2}{3}}}n−725=5⋅32</p><p></p><p>−257=103</p><p></p><p>$

$Add </p><p></p><p>257</p><p></p><p>\frac{25}{7}725</p><p></p><p> to both sides of the equation</p><p></p><p>−257=103</p><p></p><p>n-\frac{25}{7}=\frac{10}{3}n−725=310</p><p></p><p>−257+257=103+257</p><p></p><p>$

$Simplify</strong></p><p></p><p><strong>[tex] SimplifyAdd the numbers</strong></p><p></p><p><strong>[tex] SimplifyAdd the numbersAdd the numbers</strong></p><p></p><p><strong>[tex] SimplifyAdd the numbersAdd the numbers=14521</strong></p><p></p><p><strong>[tex] SimplifyAdd the numbersAdd the numbers=14521n=\frac{145}{21}n=21145</strong></p><p></p><p></p><p></p><p><strong>[tex] SimplifyAdd the numbersAdd the numbers=14521n=\frac{145}{21}n=21145$

${here \: is \: your \: answer}$