Question

2/x+3/y=13, 4/x+1/y=11 solve by elimination method​

Answer 1

Given:
=>2/x + 3/y=13 ——-(1)
=>4/x + 1/y=11———(2)

Therefore in equation (1)
=>2/x+3/y=13
=>(2y+3x)/xy=13
=>2y+3x=13xy______(3)

Therefore in equation (2)
=>4/x+1/y=11
=>(4y+x)/xy=11
=>4y+x=11xy________(4)

On multiplying (3) by 2 and subtracting (3) by(4)

=>4y+6x=26xy
=>4y+x=11xy
- - -
_________
0+5x=15xy

Therefore, 5x=15xy
=>y=1/3

Therefore, substituting value of y in (3)
=>2(1/3)+3x=13(1/3)x
=>(2+9x)/3=13x/3
=>2+9x=13x
=>x=1/2

Therefore value of x=1/2&y=1/3

Hope it will help you!!