Linear Equations in Two Variables

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is 

• 3 

• – 3 

• –12 

• no value

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

The equation 2x + 5y = 7 has a unique solution, if x, y are:

• Natural numbers

• positive real numbers

• real numbers

• rational numbers

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

• 4

• 6

• 5

• 2

The linear equation 2x – 5y = 7 has

• no solution

• unique solution

• two solutions

• infinitely many solutions

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

• x + 1.y = 7

• x + 0.y = 7

• 0.x + 1.y = 7

• 0.x + 0.y = 7

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

x = 1 and y = 2?

• Only one

• Two

• Infinitely many

• Three

x = 5, y = 2 is a solution of the linear equation

• x + 2y = 7

• 5x + 2y = 7

• x + y = 7

• 5x + y = 7

The positive solutions of the equation ax + by + c = 0 always lie in the

• 1st quadrant

• 2nd quadrant

• 3rd quadrant

• 4th quadrant