Question

find the value of x-y if 5x+4x=14 and 4x+5y=13​

Answer 1

Answer:

5x + 4x = 14

9x = 14

x= 14/9

4x+5y=13

4(14/9) +5y = 13. ( X = 14/9)

56/9 +5y=13

56 + 45y / 9 = 13

56+45y=117

45y = 61

y = 61/45

Answer 2

Answer:

x - y = 1

Step-by-step explanation:

Given - 5x + 4y = 14 --- ( 1 )

and 4x + 5y = 13 --- ( 2 )

Multiply ( 1 ) by 5 and multiply ( 2 ) by 4

to solve for X

25x + 20y = 70 --- ( 3 )

16x + 20y = 52 --- ( 4 )

subtracting (4) from (3) we get,

25x+20y = 70

- 16x-20y = -52

______________

9x = 18

x = 18/2

x = 2

subtituting (x=2) in equation (2)

4*2 + 5y = 13

8 + 5y = 13

5y = 13-8

5y = 5

y = 5/5

y = 1

x - y = 2-1 =1

hence, x-y = 1

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