Short Answer TypeWhich of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method.
x – 3y – 3 = 0
3x – 9y – 2 = 0
The given pair of linear equation is
x - 3y - 3 = 0
3x - 9y - 2 = 0
Here, a1 = 1, b1 = -3
a2 = 3, b2 = -9, c2= -2
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Hence, the given pair of linear equations has no solutions.
Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method.
2x + y = 5
3x + 2y = 8
Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method.
3x - 5y = 20
6x - 10y = 40
Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method.
x - 3y - 7 = 0
3x - 3y - 15 = 0
For which values of a and b does the following pair of linear equations have an infinite number of solutions ?
2x + 3y = 7
(a - b) x + (a + b) y = 3a + b - 2
For which value of k will the following pair of linear equations have no solution?
3x + y = 1 (2k – 1) x + (k – 1) y = 2k + 1
Solve the following pair of linear equations by the substitution and cross-multiplication methods :
8x + 5y = 9
3x + 2y = 4
when 1 is subtracted from the numerator and it becomes 
when 8 is added to its denominator. Find the fraction.
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