Question

8x=5y and 13x=8y+1.find X and y

Answer 1

hєчα

hєrє íѕ thє αnѕwєr

gívєn єquαtíσnѕ :-

8х = 5ч

σn furthєr ѕσlvíng, wє gєt

8х - 5ч = 0 ___(1)

αnd

13х = 8ч + 1

13х - 8ч = 1 ___(2)

multíplч єq(1) вч 8 αnd єq(2) вч 5.

wє gєt

64х - 40ч = 0 __(3)

αnd

65х - 40ч = 5

ѕuвtrαct вσth thєѕє єquαtíσnѕ, wє gєt

-х = -5

х = 5

put thíѕ ín єq(3)

64(5) - 40ч = 0

320 = 40ч

ч = 8

hєncє,

х = 5

αnd

ч = 8

hσpє thíѕ hєlpѕ.

Answer 2

13x =8y+1 ,8x=5y

X=5y/8

13×5y/8 -8y =1

65y-64y=8

Y =8

Now x=5×8/8=40/8=5

X=5 ,y=8