Multiple Choice
Solve the given linear equation using addition and subtraction properties of equality.
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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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