Question

1/x+4/y=4/15 and 1/x+2/y=1/24. solve both equation by elimination method.​

Answer 1

Answer:

Step-by-step explanation:

Hi,

The given equations are,

$1/x + 4/y = 4/15$

$1/x + 2/y = 1/24$

Let us keep $1/x = u$  and $1/y = v$  

Now our equations are

$u + 4v = 4/15\\u +2v = 1/24$

OR

$15u + 60v = 4 ..........(1)\\24u + 48v = 1 ...........(2)$

Multiplying 8 in equation (1) and 5 in equation (2) we get

$120u+480v = 32\\120u + 240v = 5$

negating the equation 2 we get

$120u+480v = 32\\-120u - 240v = -5$

Solving it we get

$240v = 27\\v = 27/240\\v = 9/80$

So,

$15u + 60*(9/80) = 4\\15u + 27/4 = 4\\60u + 27 = 16\\60u = -11\\u = -11/60$

So,