Question

Write whether the pair of linear equation x+y=14 and x-y=4 is consistent or not

Answer 1

Answer:

Step-by-step explanation:

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

$x+y=14$

$x-y=4$

Two linear lines are consistent if

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

For the given pair of linear equations,

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

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

Since $1\neq -1$, therefore the system of equations has unique solution.

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