no solution can be found for px+ 2y=5,(p+1) x+3y= 2 for any of p
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Chapter 3: Pair of Linear Equations in Two Variables Exercise – 3.5
Question: 1
In each of the following systems of equation determine whether the system has a unique solution, no solution or infinite solutions. In case there is a unique solution,
x − 3y − 3 = 0, x − 3y − 3 = 0
3x − 9y − 2 = 0, 3x − 9y − 2 = 0
Solution:
The given system may be written as
x − 3y − 3 = 0
3x − 9y − 2 = 0
The given system of equation is of the form
a2x + b2y − c2 = 0 a2x + b2y − c2 = 0
Where, a1 = 1, b1 = −3, c1 = −3
a2 = 3, b2 = −9, c2 = −2
We have,
Therefore, the given equation has no solution.
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