4/x - 3/y = 1 ; 6/x + 15/y = 8 solve this equation
1 answer:
Answer:
x=2
y=3
Solution:
First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:
(4y-3x)/xy=1; (6y+15x)/xy=8
Then
4y-3x=xy;
6y+15=8xy
Multiply first equasion by 5
20y-15x=5xy
Now we add two equasions to get one
20y-15x=5xy
6y+15x=8xy
We get
26y=13xy
Cut "y" and we will find "x"
26=13x
x=2
Put x value into the first equasion(4y-3x=xy) to find out "y"
4y-6=2y
2y=6
y=3
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