Question

solve for b. express your answer as a proper or improper fraction in simplest terms.
$-\frac{1}{3} = \frac{1}{2}b + \frac{2}{7}$
answer attempt 1 out of 2
$b = square$
submit answer

Explanation:

Step1: Isolate the term with $b$

Subtract $\frac{2}{7}$ from both sides.
$$-\frac{1}{3} - \frac{2}{7} = \frac{1}{2}b$$

Step2: Compute left-hand side

Find common denominator (21) to subtract fractions.
$$\frac{-7 - 6}{21} = \frac{1}{2}b \implies -\frac{13}{21} = \frac{1}{2}b$$

Step3: Solve for $b$

Multiply both sides by 2.
$$b = -\frac{13}{21} \times 2$$

Step4: Simplify the product

Calculate the final fraction.
$$b = -\frac{26}{21}$$

Answer:

$-\frac{26}{21}$