if 1 is added to both numerator and denominator of a fraction. Then it becomes 4/5. write the linear equations in two variables
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Answered by
1
Answer:
let the fraction be x/y
1 is added means
x+1/y+1=4/5
5x+5=4y+4
5x-4y=-1
5 is subtracted means
x-5/y-5=1/2
2x-y=5
2 eqn multilply by 5 and 1 eqn by 2
2(5x-4y=-1)=10x-8y=-2
5(2x-y=5)=10x-5y=25
10x-5y=25
10x-8y=-2
x=7,y=9
then the fraction is 7/9
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Answered by
1
Answer:
Step-by-step explanation:
let the fraction be x/y
1 is added means
x+1/y+1=4/5
5x+5=4y+4
5x-4y=-1
5 is subtracted means
x-5/y-5=1/2
2x-y=5
2 eqn multilply by 5 and 1 eqn by 2
2(5x-4y=-1)=10x-8y=-2
5(2x-y=5)=10x-5y=25
10x-5y=25
10x-8y=-2
x=7,y=9
then the fraction is 7/9
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