Question

What are the different types of solutions in linear equearion?

Answer 1

HEYA MATE!!

THERE ARE THREE TYPES OF SOLUTIONS IN LINEAR EQUATIONS:-

⏺ ONLY ONE SOLUTION
⏺ NO SOLUTION
⏺ INFINITE SOLUTIONS


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Answer 2

solution:

There are three diffrent outcomes of solution.

1. NO solution

2. infitely many solution

3. Unique solution

1.No solution: when their are two or more equation are given and if we plot the graph then when all three lines are parallel to each other then they have NO solution.

Let we have equation,

a1x + b1y + c1 = 0 and

a2x + b2y + c2 = 0,

[Where a1, b1, c1, a2, b2, c2 are all real numbers & a1,b1,a2 and b2 ≠ 0]

so, for No solution [ || lines] a1/a2 = b1/b2 ≠ c1/c2

2. infinte solution:

If tow or more equation graph get concide at each other then they have infinte solution.

For infinte solution, a1/a2 = b1/b2 = c1/c2

3. Unique solution

If two or more line intersect each other at only one point then they have only one solution.

For unique solution: a1/a2 ≠ b1/b2

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Amrit______