Equations in Two Variables

The pair of linear equations:
 kx + 4y = 5 ; 3x + 2y = 5
 is consistent only when:

• k ≠ 6

• k = 6

• k ≠ 3

• x = 3

The pair of lines 'x = a' and 'y = b' graphically represent lines which are 

• parallel

• intersecting at (a , b)

• coincident

• intersecting at (b , a)

If a pair of linear equations is consistent, then the corresponding lines will be ____

• parallel

• always coincident

• always intersecting in a unique point 

• intersecting or coincident

The solution for the lines represented by x = 0 and y = 0 is ____

• (0, 0)

• No Solution exist

• Infinitely many solutions

• All the points the axes are solutions 

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution to this system?
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

x-4y = 16
5x + 4y = 8

• (4,-3)

• (-3,4)

• (4,3)

• (3,-4)

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions