Question

write the following pair of linear equation is consitent or not x+y=14, x-y=4​

Answer 1

Answer:

The given pair of linear equations are

x+y=14x+y=14

x-y=4x−y=4

Two linear lines are consistent if

\frac{a_1}{a_2}\neq\frac{b_1}{b_2}

a

2

a

1



=

b

2

b

1

For the given pair of linear equations,

\frac{a_1}{a_2}=\frac{1}{1}=1

a

2

a

1

=

1

1

=1

\frac{b_1}{b_2}=\frac{1}{-1}=-1

b

2

b

1

=

−1

1

=−1

Since 1\neq -11



=−1 , therefore the system of equations has unique solution.

Answer 2

Answer:

Yes this is consistent I hope this is helpful for you