\(5y = 15\)
\(x = 2y\)
Column A: \(x\)
Column B: 5
\(x = 2y\)
Column A: \(x\)
Column B: 5
Show Hint
- Quantity A is greater
- Quantity B is greater
- The two quantities are equal
- The relationship cannot be determined from the information given
The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
We are given a system of two linear equations with two variables, \(x\) and \(y\). We need to solve for \(x\) and then compare its value to the constant 5.
Step 2: Detailed Explanation:
First, we solve the equation \(5y = 15\) for \(y\).
\[ 5y = 15 \] Divide both sides by 5:
\[ y = \frac{15}{5} = 3 \] Now we have the value of \(y\). We can substitute this value into the second equation, \(x = 2y\), to find the value of \(x\).
\[ x = 2(3) \] \[ x = 6 \] Step 3: Comparing the Quantities:
Now we compare the value of \(x\) from Column A with the value in Column B.
Column A: \(x = 6\)
Column B: 5
Since \(6 > 5\), the quantity in Column A is greater.
Step 4: Final Answer:
The value of \(x\) is 6, which is greater than 5. Therefore, the quantity in Column A is greater.
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