Solve for b. (4)/(11)b-8=16 Answer: b=

Isolate variable term: First, we need to isolate the term containing the variable b on one side of the equation. (4/11)b - 8 = 16 Add 8 to both sides to move the constant term to the right side. (4/11)b - 8 + 8 = 16 + 8Simplify equation: Now, simplify both sides of the equation. (4/11)b = 24Multiply by reciprocal: Next, we need to solve for b by getting rid of the fraction. Multiply both sides of the equation by the reciprocal of (4/11), which is (11/4). (11/4) * (4/11)b = 24 * (11/4)Simplify and solve: Simplify the left side by canceling out the common factors and perform the multiplication on the right side. b = 24 * (11/4) b = 6 * 11Find value of b: Finally, multiply 6 by 11 to find the value of b. b = 66

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Solve for $b$ . $\newline$ $\frac{4}{11} b-8=16$ $\newline$ Answer: $b=$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

b

\newline

\frac{4}{11} b-8=16

\newline

Answer:

b=

Isolate variable term: First, we need to isolate the term containing the variable $b$ on one side of the equation. $(\frac{4}{11})b - 8 = 16$ Add $8$ to both sides to move the constant term to the right side. $(\frac{4}{11})b - 8 + 8 = 16 + 8$
Simplify equation: Now, simplify both sides of the equation. $\newline$ $(\frac{4}{11})b = 24$
Multiply by reciprocal: Next, we need to solve for $b$ by getting rid of the fraction. Multiply both sides of the equation by the reciprocal of $\frac{4}{11}$ , which is $\frac{11}{4}$ . $\frac{11}{4} \times \frac{4}{11}b = 24 \times \frac{11}{4}$
Simplify and solve: Simplify the left side by canceling out the common factors and perform the multiplication on the right side. $\newline$ $b = 24 \times (\frac{11}{4})$ $\newline$ $b = 6 \times 11$
Find value of : Finally, multiply $6$ by $11$ to find the value of . $\newline$ = $66$