Question

Check whether the following pair of equation is consistent or not:x+y=14;x-y=4​

Answer 1

Step-by-step explanation:

,.............,...............

Answer 2

Answer:

given equations:

$x + y = 14......(1) \\ x - y = 4........(2)$

comparing coefficients of X,

$\frac{1}{1} = 1$

comparing coefficients of y,

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

comparing coefficients of the constants,

$\frac{14}{4} = \frac{7}{2}$

here,

none of the ratios are equal,

therefore,

this system of equation is

• consistent
• has a unique solution
• independent