What conclusion can be drawn about the solution of the following system of linear equations in two variables:
3x + 2y = 7
2x + 3y = 7
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Unique solution.
Given linear equations are 3x + 2y = 7 and 2x + 3y = 7.
For any pair of linear equations, nature of solution can be defined as,
(a1/a2) = (b1/b2) = (c1/c2) : Infinite solution
(a1/a2) = (b1/b2) ≠ (c1/c2) : No solution
(a1/a2) ≠ (b1/b2) ≠ (c1/c2) : Unique solution
According to the given question,
a1/a2 = 3/2 and b1/b2 = 2/3
⇒ (a1/a2) ≠ (b1/b2)
Now, c1/c2 = 7/7
Now, (a1/a2) ≠ (b1/b2) ≠ (c1/c2)
Hence the nature of solution for the equations is Unique solution.