Question

In linear equation $\frac{x}{3} + \frac{y}{2} = 6$ if $x = 9$ then the value of $y$ will be :

• A. 2
• B. 4
• C. 6
• D. 8

Hint:

Multiplying the entire equation by the LCM of denominators (6) removes fractions: $2x + 3y = 36$.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
To find the value of an unknown variable in a linear equation, we substitute the given value of the other variable and solve the resulting equation.
Step 2: Substitution:
Substitute $x = 9$ into the equation: \[ \frac{9}{3} + \frac{y}{2} = 6 \]
Step 3: Solving for y:
\[ 3 + \frac{y}{2} = 6 \] Subtracting 3 from both sides: \[ \frac{y}{2} = 6 - 3 \] \[ \frac{y}{2} = 3 \] Multiplying both sides by 2: \[ y = 3 \times 2 = 6 \]
Step 4: Final Answer:
The value of $y$ is 6.