Mathematics Multiple Choice Questions on “Graph of a Linear Equations in Two Variables”.
1. What are the number of solutions of set of linear equations x+2y=6 and 3x+6y=16?
a) One
b) Two
c) Zero
d) Infinite
Answer: c
Clarification: First equation is x+2y=6 and second equation is 3x+6y=16.
By multiplying the first equation by 3, we get 3x+6y=18, but according to the second equation, 3x+6y=16, which is impossible. Hence, given set of equations has no equation.