Equations with Two Variables

The equation y = 3x + 5 has _____

• A unique solution 
• Only two solutions
• Three solutions 
• Infinitely many solutions 

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

• 4
• 5
• 6
• 2

The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____

• (2 ,0)
• (0 ,3)
• (3 ,0)
• (0, 2)

The equation x = 7 in two variables can be written as ____

•  1.x + 1 .y = 7
• 1.x + 0.y = 7
• 0.x + 1. y = 7
• 0.x + 0.y = 7

The graph of the line x = 6 is a line___

• parallel to x -axis at a distance of 6 untis from origin
• parallel to y-axis at a distance of 6 units from the origin
• making an intercept 6 on the x-axis
• making an intercept 6 on both the axis

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____

• Changes
• Remains the same 
• Changes in case of multiplication only
• Changes in case of division only

How many linear equations in x and y can be satisfied by x = 1 and y = 2

• Only one
• Two
• Infinitely many
• Three

The graph of ax + by + c = 0 is _____

• A straight line parallel to x - axis
• A straight line parallel to y - axis 
• A general straight line
• A line in the 2nd and 3rd quadrant

The graph of the linear equation in two variables y = mx is _____

• a line parallel to x - axis 
• a line parallel to y - axis 
• a line passes through the origin
• not a straight line

The point of the form (a , -a) always lies on the line____

• x = a
• y = - a
• y = x
• x + y = 0