Simplify 3/7x + 2/7x using properties of operations.(1 point)

Responses

5/7x
Start Fraction 5 over 7 End Fraction x

5/14x
Start Fraction 5 over 14 End Fraction x

5/14x2
Start Fraction 5 over 14 End Fraction x squared

5/7x2

1 answer

To simplify the expression \( \frac{3}{7}x + \frac{2}{7}x \), you can combine the like terms.

Both terms have the same coefficient of \( \frac{1}{7} \) and the common variable \( x \).

So you can add the coefficients:

\[ \frac{3}{7} + \frac{2}{7} = \frac{3 + 2}{7} = \frac{5}{7} \]

Thus, the combined expression is:

\[ \frac{5}{7}x \]

Therefore, the simplified expression is:

5/7x (Start Fraction 5 over 7 End Fraction x).