Question

6. Solve ¾ r + 2r + Â=½ r. =
a) r=0
b) r= 1/2
c) r=1
d) r=2

Answer 1

The equation 3/4 r + 2r = 1/2 r, when simplified, results in 9/4 r = 0. By dividing both sides by 9/4, we find that r = 0. Therefore, the answer to the equation is (a) r=0.

Step-by-step explanation:

To solve the equation 3/4 r + 2r = 1/2 r, we need to combine like terms and solve for r:

1. First, convert all terms to have the same denominator if necessary. Here, it is not necessary because we only need to combine terms that already have r as part of their expression.
2. Combine the r terms by adding:
   3/4 r + 2r which is the same as 3/4 r + 8/4 r = 11/4 r.
3. Now, we have 11/4 r = 1/2 r. To solve for r, we need to get r on one side by itself. To do this, we'll subtract 1/2 r from both sides.
4. Before subtracting, convert 1/2 r to have the same denominator as 11/4 r, which is 2/4 r. The equation becomes 11/4 r - 2/4 r = 0.
5. We are left with 9/4 r = 0.
6. To find the value of r, divide both sides by 9/4, which is the same as multiplying by the reciprocal 4/9. We get r = 0.

So the solution to the equation is r = 0, which means the correct answer is (a) r=0.