Question

15u + 60v = 1 and 24u + 48v = 1 solve for 'u' and 'v'.​

Answer 1

Answer:

Step-by-step explanation:

15u + 16v = 1 --------------- 1

24u + 48v = 1 ----------------2

There are many ways to solve I'll use the substitution method

15u + 60v = 24u +48v (since 1 = 24u + 48v)

15u - 24u + 60v - 48v = 0

-9u + 12v = 0

-3(3u - 4v) = 0

3u - 4v = 0/-3

3u = 4v

U = 4v/3 --------------- 3

Substituting the value of u in equation 1 we get,

15u + 60v = 1

15 x 4v/3 + 60v = 1

5 x 4v + 60v = 1

20v + 60v = 1

80v = 1

V = 1/80

Substituting the value of v in equation 3 we get,

U = 4v/3

U = (4 x 1/80) /3

U = (1/20) /3

U = 1/20 x 1/3

U = 1/60

So,

U = 1/60

V = 1/80

Hope this helps you.

You can also use elimination method to make things easier