Question

Solution of equations \( 3x + 2y = 6 \) and \( y = 0 \) will be:

• A. 2, 0
• B. 0, 2
• C. 3, 0
• D. 0, 3

Hint:

When solving simultaneous linear equations, substitute known values from one equation into the other to solve for the variables.

Answer 1

The Correct Option is C

Step 1: Substitute \( y = 0 \) into the first equation.
The second equation is \( y = 0 \), so substitute this into the first equation: \[ 3x + 2(0) = 6 \quad \Rightarrow \quad 3x = 6 \]
Step 2: Solve for \( x \).
Divide both sides of the equation by 3: \[ x = \frac{6}{3} = 2 \]
Step 3: Conclusion.
Thus, the solution of the system of equations is \( x = 2 \) and \( y = 0 \), so the correct answer is (A) 2, 0.