Question

If \(2x + 3y = 18\) and \(y = 2\), then the value of \(x\) is:

• A. 6
• B. 8
• C. 9
• D. 12

Hint:

Substitute \(y = 2\) and solve \(2x + 6 = 18\).

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
We have one equation with two unknowns and the value of \(y\) is given. So we can put \(y\) into the equation and find \(x\).

Step 2: Key Formula or Approach:
Substitute the known value, then solve the simple linear equation in \(x\) by isolating the term with \(x\).

Step 3: Detailed Explanation:
Put \(y = 2\) in \(2x + 3y = 18\).
\[ 2x + 3(2) = 18 \]
\[ 2x + 6 = 18 \]
\[ 2x = 12 \]
\[ x = 6 \]

Step 4: Check the other options:
If \(x = 8\), then \(2x + 6 = 22\), not 18. If \(x = 9\), the sum is 24. If \(x = 12\), the sum is 30. Only \(x = 6\) gives 18.

Final Answer:
The value of \(x\) is 6. \[ \boxed{x = 6} \]