Question

Write whether the following pair of linear equations is consistent or not x+y=14 and x-y=14

Answer 1

it is consistent as proof below

x+y=14

x=14-y. [1]

now

x-y=4

x=4+y[2]

from [1]&[2]

14-y=4+y

10=2y

y=5

now

x+y=14

x+5=14

x=9

&

x-y=4

x-5=4

x=9

hence in both. cases value of x and y r same so it is consistent

hope this helps you

Answer 2

Answer:

The pair of given linear equations is pair of linear equation .

The given pair of linear equations are

x+y=14

x-y=14

Two linear lines are consistent if

a1/a2 not equal to b1/b2

For the given pair of linear equations,

a1/a2=1

b1/b2=-1

Since 1 is not equal to -1, therefore the system of equations has unique solution.

Thus, the pair of given linear equations is pair of linear equation .

Step-by-step explanation:

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