How many linear equations in x and y can be satisfied With x=0 , y=0 ?
Answers
Let the linear equation be ax+by+c=0. Here, different values of a,b and c satisfy a +2b+c=0. Hence, infinitely many linear equations in x and y can be satisfied by x=1 and y=2.
To find:
The number of lines equations in x and y that can be satisfied with x = 0, y = 0
Step-by-step explanation:
The given solutions are x = 0, y = 0.
When we add the solutions, we get
x + y = 0
⇒ 2x + 2y = 0
⇒ 3x + 3y = 0
⇒ 4x × 4y = 0
⇒ 5x + 5y = 0
... ... ...
... ... ...
⇒ nx + ny = 0
... ... ...
... ... ...
All these above solutions have solutions x = 0, y = 0.
Final answer:
There are infinitely many equations in x and y that can be satisfied with x = 0, y = 0.
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