Question

solve = x/6 + x/9 = 10❔
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Answer 1

$\huge\mathtt\purple{\:Answer}$

$\frac{x}{6} + \frac{x}{9} = 10 \\ \frac{3x + 2x}{18} = 10 \\ \frac{5x}{18} = 10 \\ 5x = 10 \times 18 \\ 5x = 180 \\ x = \frac{180}{5} \\ x = 36$

Answer 2

Answer:

Find common denominator

6+9=10

\frac{x}{6}+\frac{x}{9}=10

318+218=10

\frac{3x}{18}+\frac{2x}{18}=10

2

Combine fractions with common denominator

318+218=10

\frac{3x}{18}+\frac{2x}{18}=10

3+218=10

\frac{3x+2x}{18}=10

3

Combine like terms

3+218=10

\frac{{\color{#c92786}{3x}}+{\color{#c92786}{2x}}}{18}=10

518=10

\frac{{\color{#c92786}{5x}}}{18}=10

4

Multiply all terms by the same value to eliminate fraction denominators

518=10

\frac{5x}{18}=10

18⋅518=18⋅10

18 \cdot \frac{5x}{18}=18 \cdot 10

5

Cancel multiplied terms that are in the denominator

18⋅518=18⋅10

18 \cdot \frac{5x}{18}=18 \cdot 10

5=18⋅10

5x=18 \cdot 10

6

Multiply the numbers

5=18⋅10

5x={\color{#c92786}{18}} \cdot {\color{#c92786}{10}}

5=180

5x={\color{#c92786}{180}}

7

Divide both sides of the equation by the same term

5=180

5x=180

55=1805

\frac{5x}{{\color{#c92786}{5}}}=\frac{180}{{\color{#c92786}{5}}}

8

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=36

x=36

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Solution

=36