To simplify the expression \( \frac{2}{8} x + \frac{3}{10} y - \frac{5}{8} x + \frac{4}{10} y \), we will combine like terms.
-
Combine the \( x \) terms: \[ \frac{2}{8} x - \frac{5}{8} x = \left(\frac{2}{8} - \frac{5}{8}\right)x = -\frac{3}{8} x \]
-
Combine the \( y \) terms: \[ \frac{3}{10} y + \frac{4}{10} y = \left(\frac{3}{10} + \frac{4}{10}\right)y = \frac{7}{10} y \]
Now combine the results from the \( x \) and \( y \) terms: \[ -\frac{3}{8} x + \frac{7}{10} y \]
Thus, the final simplified expression is: \[ -\frac{3}{8} x + \frac{7}{10} y \]
The correct response is: −3/8 x + 7/10 y