Question

It d is the hcf of 30 , 72 ,fond the value of x & y satisfying d = 30x + 72y

Answer 1

Answer:

d=6 x=5 y=-2

Step-by-step explanation:

HCF

72=30x2+12

30=12x2+6

12=6x3+0

So HCF=6=d

d=30x+72y

From30=12x2+6

6=30-12x2........eqn1

From72=30x2+12

12=72-30x2.......eqn2

Substitute12value in eqn1

6=30-(72-30x2)2

6=30-72x2+30x4

6=30-72-72+30+30+30+30

6=30x5+72x-2

d=30x+72y

d=6

x=5

y=-2