QuestionAugust 25, 2025

Solve the equation. (1)/(3)b+4=(7)/(9) The solution set is square (Select "all real numbers" if applicable.)

Solve the equation. (1)/(3)b+4=(7)/(9) The solution set is square (Select "all real numbers" if applicable.)
Solve the equation.
(1)/(3)b+4=(7)/(9)
The solution set is square 
(Select "all real numbers" if applicable.)

Solution
4.3(270 votes)

Answer

b = -\frac{29}{3} Explanation 1. Isolate the variable b Subtract 4 from both sides: \frac{1}{3}b + 4 - 4 = \frac{7}{9} - 4. 2. Simplify the equation Simplify the right side: \frac{7}{9} - \frac{36}{9} = -\frac{29}{9}. 3. Solve for b Multiply both sides by 3: b = 3 \times -\frac{29}{9}.

Explanation

1. Isolate the variable $b$<br /> Subtract 4 from both sides: $\frac{1}{3}b + 4 - 4 = \frac{7}{9} - 4$.<br />2. Simplify the equation<br /> Simplify the right side: $\frac{7}{9} - \frac{36}{9} = -\frac{29}{9}$.<br />3. Solve for $b$<br /> Multiply both sides by 3: $b = 3 \times -\frac{29}{9}$.
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