Pair of Linear Equations in Two Variables Class 10 MCQ Test | CBSE Chapter 3 Important Questions

The sum of the numerator and denominator of a fraction is 8. If the denominator is 2 more than twice the numerator, the fraction is:

For which value of $k$ will the system $3x + ky = 12$, $x - 2y = 4$ be consistent and have a unique solution?      

In the pair of equations $x - 3y = 7$ and $3x - ky = 15$, if the lines are parallel, the value of $k$ is:

If the lines $3x - 2y = 4$ and $6x - 4y = 8$ are represented graphically, they will be:

Which of the following methods is not used for solving a pair of linear equations?

The solution of the pair of equations $x + y = 5$ and $2x - y = 1$ is:

The value of $k$ for which the following pair of equations has infinitely many solutions:
$2x + 3y = 7$ and $(k - 1)x + (k + 2)y = 3k$

The graphical representation of a pair of inconsistent linear equations is:

The pair of equations

$2x + 3y = 8$

 and

$4x + 6y = 16$

has: