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Solving rac{1}{3}(6u + 3) = 7 - u Using a General Strategy
To solve the linear equation rac{1}{3}(6u + 3) = 7 - u using the general strategy:
First, simplify each side where possible. Distribute the rac{1}{3} on the left side:
Next, collect variable terms on the left side by adding to both sides:
Collect constant terms on the right side by subtracting from both sides:
Make the coefficient equal to by dividing both sides by to isolate :
Check the answer by substituting for in the original equation: rac{1}{3}(6(2) + 3) = rac{1}{3}(12 + 3) = rac{1}{3}(15) = 5 On the right side, . Since , the solution is verified.
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Intermediate Algebra @ OpenStax
Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
Algebra
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Strategy for Solving Linear Equations
Linear Equation in Two Variables
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Defining Standards for Linear Models
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Verification of Process Solutions
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