Question

find whether the pair of linear equation y=0 and y = -5 has no solution unique solution or infinitely many solution

Answer 1

Answer:

The pair of linear equation y=0 and y = -5 has no solution and lines are parallel and distance between them is 5 unit.

Step-by-step explanation:

Given : The pair of linear equation y=0 and y = -5

To find : Whether the pair of linear equation y=0 and y = -5 has no solution unique solution or infinitely many solution?

Solution :

The pair of linear equation y=0 and y = -5.

The general equation is of form ax+by=c

We know, If lines turns out to be ax + by = c and ax + by = d

Then we have no solutions as these two lines are parallel.

or Distance between two lines will be $d= \frac{|c-d|}{\sqrt{(a^2+b^2)}}$

Comparing with given equation,

The equations has no solution.

a=0, b=1,c=0,d=-5

$d= \frac{|0-(-5)|}{\sqrt{(0^2+1^2)}}$

$d= \frac{5}{1}$

$d=5$

The pair of linear equation y=0 and y = -5 has no solution and lines are parallel and distance between them is 5 unit.

Answer 2

Answer:

No solution

Step-by-step explanation:

$Here , \: pair \: of \: linear \: equations\\ \: y = 0 \: and \: y = -5 \: shows \: parallel\\ \: to \: each \: other$

Therefore,

$They \: have \: no \: common\:point.\\They \: have \: no\: solution$

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