Simplify the expression.

Question

(3/4x−1)+(3/4x−2)
(1 point)
Responses

1
1

/34x+1
3 fourths x plus 1

-3
-3

3/2x−3

Answer 1

To simplify the expression \(\left(\frac{3}{4}x - 1\right) + \left(\frac{3}{4}x - 2\right)\), we can combine the two terms as follows:

1. Combine the like terms: \[ \frac{3}{4}x + \frac{3}{4}x - 1 - 2 \] This simplifies to: \[ \frac{3}{4}x + \frac{3}{4}x - 3 \]

2. Add \(\frac{3}{4}x + \frac{3}{4}x\): \[ 2 \cdot \frac{3}{4}x = \frac{6}{4}x = \frac{3}{2}x \]

3. Combine everything: \[ \frac{3}{2}x - 3 \]

Therefore, the simplified expression is: \[ \frac{3}{2}x - 3 \]

So the correct response is: 3/2x−3