Question

2/3 = 1/3 − 7/10b Please find b. Express your answer as a proper or improper fraction in simplest terms.

Answer 1

To solve 2/3 = 1/3 - 7/10b for b, you add 7/10b to both sides, subtract 2/3 from both sides, and then multiply by the reciprocal of 7/10. This gives the solution b = -10/21.

Step-by-step explanation:

We are asked to solve for b in the equation 2/3 = 1/3 - 7/10b. To find b, we first want to isolate the term with b on one side of the equation. This process will involve a few steps:

1. Add 7/10b to both sides to get the variable b on one side and the constants on the other: 2/3 + 7/10b = 1/3.
2. Next, subtract 2/3 from both sides to isolate the term with b: 7/10b = 1/3 - 2/3.
3. Since 1/3 - 2/3 is -1/3, the equation simplifies to 7/10b = -1/3.
4. To solve for b, divide both sides by 7/10, which is the same as multiplying by 10/7: b = (-1/3) * (10/7).
5. When we multiply these fractions, the equation becomes b = -10/21.

Therefore, the value of b is -10/21.