Evaluate the expression 2(3y + x) for x = 6 and y = -3.
Understand the Problem
The question is asking us to evaluate a mathematical expression using the values of x and y provided. We need to substitute x = 6 and y = -3 into the expression 2(3y + x) and compute the result.
Answer
The evaluated expression is $-6$.
Answer for screen readers
The final answer is $-6$.
Steps to Solve
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Substitute the values of x and y To evaluate the expression $2(3y + x)$, substitute $x = 6$ and $y = -3$ into the expression: $$ 2(3(-3) + 6) $$
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Calculate the term inside the parentheses First, compute $3y$: $$ 3(-3) = -9 $$ Now substitute this value back into the expression: $$ 2(-9 + 6) $$
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Simplify the expression inside the parentheses Now, add $-9$ and $6$: $$ -9 + 6 = -3 $$ Substitute this back into the expression: $$ 2(-3) $$
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Multiply by 2 Finally, perform the multiplication: $$ 2(-3) = -6 $$
The final answer is $-6$.
More Information
The expression $2(3y + x)$ represents a linear combination of the variables $x$ and $y$. By substituting specific values, we can evaluate the effect of those variables on the expression, showing how simple algebraic substitutions work.
Tips
- Forgetting to substitute correctly: Always check that the right values for $x$ and $y$ are substituted into the expression.
- Miscalculating the addition or multiplication: Double-check calculations for errors, especially with negative numbers.
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