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SAI International School
Mathematics
Chapter-3: Pair of Linear Equations in Two Variables-2
Home Assignment-2
Sub topics: Algebraic Methods of solving a Pair of Linear Equations
1. Solve the following system of linear equations by using the method of elimination
3x + 2y = 11
2x + 3y = 4
2. For what value of k, the following pair of linear equations has infinitely many
solutions?
10x + 5y - (k - 5) = 0
20x + 10 y - k = 0
3. For what values of k, the following pair of linear equations have no solution?
(3k + 1) x + 3y - 2 = 0
2
(k + 1)x + (k - 2)y - 5 = 0
4. In the following system of equations determine whether it has unique, no or
infinitely many solutions.
and
5. Find the values of 'k' for which the system of equations
x - 2y = 3 and 3x + ky = 1 has a unique solution.
6. Solve the following systems of equations using cross multiplication method:
x + ay = b
ax - by = c
7. Solve the following equation
25x + 23y = 119
23x + 25y = 121
