Simplify the expression by combining like terms. 2/8x+3/10y−5/8x+4/10y (1 point) Responses 7/10x+7/8y 7 tenths x plus 7 eighths y 4/18xy 4 over 18 x y −3/8x+71/0y negative 3 eighths x plus 7 tenths y 14/18xy

Answer 1

To simplify the expression \( \frac{2}{8}x + \frac{3}{10}y - \frac{5}{8}x + \frac{4}{10}y \), we can combine like terms.

First, let's combine the \( x \) terms: \[ \frac{2}{8}x - \frac{5}{8}x = \left( \frac{2 - 5}{8} \right)x = \frac{-3}{8}x \]

Next, let's combine the \( y \) terms: \[ \frac{3}{10}y + \frac{4}{10}y = \left( \frac{3 + 4}{10} \right)y = \frac{7}{10}y \]

Now, putting it all together: \[ \frac{-3}{8}x + \frac{7}{10}y \]

So, the simplified expression is: \[ -\frac{3}{8}x + \frac{7}{10}y \]

The corresponding response option would be: Negative 3 eighths x plus 7 tenths y.