Mathematics Questions and Answers – Graph of a Linear Equations in Two Variables

Answer: b
Explanation: To locate the points of the equations on graph, let’s take arbitrary value of x and y equal to zero.
By taking x = 0, we get 0 + y = 3
Therefore, y = 3
First point is (0, 3)
Now by taking y = 0, we get x + 0 = 3
Therefore x = 3
Hence, second point is (3, 0)
Now that we have two points, we can generate a line by locating two points (0, 3) and (3, 0)
Considering this,

above graphis correct as the line passes through two points (0, 3) and (3, 0).

Answer: c
Explanation: 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.