Answer: x = 3.5
Explanation:
Given
x/3 + x/7 = 5/3
Determine the Least Common Multiple (LCM) of the denominators
First 10 multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
First 5 multiples of 7: 7, 14, 21, 28, 35
Since 21 is the first overlapping term in both lists, therefore, 21 is the LCM of 3 and 7.
Multiply Least Common Multiple (LCM) of the denominators on both sides
21 (x/3 + x/7) = 21 × 5/3
Expand parentheses and apply the distributive property
7x + 3x = 35
Combine like terms
10x = 35
Divide 10 on both sides
10x / 10 = 35 / 10
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