Solving Equations in Two Variables

The pair of linear equations 3x + 5y = 3 ; 6x + ky = 8 do not have any solutions if : 

• k = 5
• k = 10
• k ≠ 10
• k ≠ 5

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)

The pair of equations 'y = 0' and 'y = -7' has ____

• one solution 
• two solutions 
• infinitely many solutions 
• no solutions

Say 'TRUE' or 'FALSE':
The line represented by x = 7 is parallel to x - axis 

• TRUE
• FALSE

Say 'TRUE' or 'FALSE'
The line represented by y = 0 is parallel to y - axis.

• TRUE
• FALSE

• Consistent and unique solution
• Inconsistent : No solution 

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

• Consistent : Unique solution
• Consistent: Many Solutions 
• Inconsistent: No solution 
• None of the above 

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