Question

Solve the following pair of equations:(1/x) + (3/y) =1(6/x)- 12/y=2
X= 5/3 , Y= 15/2
x=4,y=9
x=3,y=1
none​

Answer 1

Answer:

(i)

2x1+3y1=2

3x1+2y1=613

Lets assume x1=p and y1=q, both equations will become

2p+3q=2

⇒3p+2q=12    ... (A)

3p+2q=613

⇒2p+3q=13   ...(B)

Multiply (A) by 3 and (B) by 2, we get

9p+6q=36

4p+6q=26

Subtracting these both, we get

5p=10

⇒p=2

⇒x=p1=21

∴q=626−8=3