Question

If 5x+ 4y=13and 4x+5y=14 , find the value of (x-y)?

Answer 1

Answer:

x - y = -1

Step-by-step explanation:

Adding the expressions

5x + 4y = 13 ×5

4x + 5y = 14 × 4

___________

25x + 20y = 65

-16x + -20y = -56

_______________

9x = 9

x = 1

Putting x = 1 in eqn i

5 + 4y = 13

4y = 8

y = 2

Therefore x - y = 1 - 2 = -1