4/x + 6/y = 1/5 and 3/x + 4/y = 1/7 .
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1
Answer:
x=0,35
y=0,70
Step-by-step explanation:
4y+6x/xy=1/5
30x+20y=xy
30x-xy+20y=0......(1)
3y+4x/xy=1/7
28x+21y=xy
28x-xy+21y=0....(2)
equating both equations,
30x-xy+20y=28x-xy+21y
2x=y
substituting value of y in eq.(1)
30x-x×2x+20×2x=30x-2x²+40x=0
2x²-70x=0
2x(x-35)=0
either
2x=0
x=0
or
x-35=0
x=35
when x=35
y=70
when x=0
y=0
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