Simplify 3/8x−9/10y+3/8x+7/10y

Question

.(1 point)
Responses

616x+220y=38x+110y
Start Fraction 6 over 16 End Fraction x plus Start Fraction 2 over 20 End Fraction y equals Start Fraction 3 over 8 End Fraction x plus Start Fraction 1 over 10 End Fraction y

68x+210y=34x+15y
Start Fraction 6 over 8 End Fraction x plus Start Fraction 2 over 10 End Fraction y equals Start Fraction 3 over 4 End Fraction x plus Start Fraction 1 over 5 End Fraction y

616x−220y=38x−110y
Start Fraction 6 over 16 End Fraction x minus Start Fraction 2 over 20 End Fraction y equals Start Fraction 3 over 8 End Fraction x minus Start Fraction 1 over 10 End Fraction y

6/8x−2/10y=3/4x−1/5y

Answer 1

To simplify the expression \( \frac{3}{8}x - \frac{9}{10}y + \frac{3}{8}x + \frac{7}{10}y \), we can combine like terms.

1. Combine the \( x \) terms: \[ \frac{3}{8}x + \frac{3}{8}x = \frac{6}{8}x = \frac{3}{4}x \]

2. Combine the \( y \) terms: \[ -\frac{9}{10}y + \frac{7}{10}y = -\frac{2}{10}y = -\frac{1}{5}y \]

Putting it all together, we have: \[ \frac{6}{8}x - \frac{2}{10}y = \frac{3}{4}x - \frac{1}{5}y \]

Thus, the correct simplified form is: \[ \frac{6}{8}x - \frac{2}{10}y = \frac{3}{4}x - \frac{1}{5}y \]

The correct response is the last option: \[ \frac{6}{8}x - \frac{2}{10}y = \frac{3}{4}x - \frac{1}{5}y \]