Question

find two integers u and v such that : 1. 20u+63v=1, 2. 30u+72v=12

Answer 1

Answer:

u = 38/25

v = -7/15

Step-by-step explanation:

20 u + 63 v = 1

30 u + 72 v = 12

Multiply 2nd by 2 and substract 1 after multilyng by 3

(60u + 144v) - (60u + 189v) = 24 - 3

- 45v = 21

v = -21/45

v = -7/15

putting v value in 1st

20u + 63(-7/15)  = 1

300u -441 = 15

300u = 456

u = 456/300

u = 152/100

u = 38/25