Question

write weather x+y=14 , x-y=4 pair of linear eqation is consistent or not

Answer 1

Answer:

Given equations are consistent.

Step-by-step explanation:

The given equations are-

x + y =14          ----------------- 1

x - y = 4           ----------------- 2

Adding equation 1 and 2.

We have-

(x + y) + (x - y) = 14 + 4

x + y + x - y =10

2x = 18

x = 9

Put x = 9 in equation 2

x - y = 4

9 - y = 4

-y = 4 - 9

-y = -5

y = 5

Verification of answer:-

x + y = 14

x = 9 and y = 5

9 + 5 = 14

14 = 14

And x - y = 4

x = 9 and y = 5

9 - 5 = 4

4 = 4

Hence, given equations are consistent.