Multiple Choice
Solve the given linear equation using addition and subtraction properties of equality.
2. Linear Equations and Inequalities
The Addition and Subtraction Properties of Equality
Multiple Choice
Solve the given linear equation using addition and subtraction properties of equality.
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Verified step by step guidance1
Start with the given equation: \(3\left(y+3\right) + \left(1 - y\right) = 3y + 13\).
Apply the distributive property to remove parentheses: multiply 3 by each term inside the first parentheses to get \(3y + 9\), and rewrite the second parentheses as \(1 - y\).
Combine like terms on the left side: \(3y + 9 + 1 - y\) simplifies to \(2y + 10\).
Rewrite the equation as \(2y + 10 = 3y + 13\) and then use the subtraction property of equality to get all variable terms on one side by subtracting \$2y$ from both sides: \(10 = y + 13\).
Use the subtraction property of equality again to isolate \(y\) by subtracting 13 from both sides: \(10 - 13 = y\), which simplifies to \(y = -3\) (you can verify this step to confirm the exact value).
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