KCET2025MathematicsMatrices

The system of equations 4 x+6 y=5 and 8 x+12 y=10 has

Options

ANo solution
BInfinitely many solutions
CA unique solution
DOnly two solutions

Correct answer

B. Infinitely many solutions

Step-by-step solution

Given equations: 1. (4 x+6 y=5 ) 2. (8 x+12 y=10 ) Step-by-step check: Multiply Equation (1) by 2: (2(4 x+6 y)=2(5) 8 x+12 y=10 ) This is same as Equation (2). Conclusion: Both equations represent the same line ( ) Infinitely many solutions

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