Question

check the consistency of of pair of equation y=2and y=2​

Answer 1

Given : pair of equations y=2 and y=-2

To Find : Check the consistency  

Solution:

Pair of Equations are said to be consistent

if thy have a unique solution  ( intersecting lines)

or

Infinite solutions   ( same lines )

Pair of Equations are said to be Inconsistent  

if there is no solution   ( parallel lines)

y = 2 and  y = 2

is a pair of same lines hence infinite solutions

Like ( 0 , 2) , ( 1 , 2) , (  2, 2)  and so on  all are the solutions of  y=2 and y = 2

or ( x , 2) is the solution set where x ∈ R

Hence its Consistent

the pair of equations y=2 and y=-2 is Consistent

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