Question

Check whether the system of equations: x + y = 14 and x – y = 4 is consistent or not.​

Answer 1

Answer:

DUDE IT'S CONSISTENT.... ..

Answer 2

Answer:

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

Step-by-step explanation:

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.

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