Pair of Linear Equations in Two Variables

Does the point (2,3) lie on the line

3x-2y=5

( 1 mark )

What is the point of intersection of the lines represented by 3x-2y=6 and the y-axis ?

Does the pair of linear equations

3x-y = -8 and 3x-y=24 represent an inconsistent system?

Two lines are given to be parallel. The equations of the two lines are

4x + 3y = 14 and 12x + ky = 28. What is the value of k?

Write the condition for the lines represented by the equations

a1x+b1y+c1=0

a2x+b2y+c2=0 to be parallel

( 1 mark )

Find whether the following pair of linear equations is consistent or inconsistent :

3x+2y = 8

6x - 4y = 9

( 1 mark )

Which of the following is a solution of the pair of equation,

3x + 2y = 20 and

6x - 5y = 4

( 1 mark )

• x = 2 , y = 1

• x = 4 , y = 4

• x = 6 , y = 7

• x = 5 , y = 3

The pair of linear equations 2x+3y = 10 and 3x+2y = 10 is

( 1 mark )

• dependent

• inconsistent

• consistent

• consistent and dependent

The pair of linear equations 6x-7y = 1 and 3x-4y = 5 has

( 1 mark )

• unique solution

• two solutions

• infinitely many solutions

• no solution

Is x= 5, y=3 not a solution of the pair of equations 3x-2y= 4 and 6x - 4y = 8?

( 1 mark )