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Find the fraction which becomes (2)/(3) ...

Find the fraction which becomes `(2)/(3)` when the numberator and the denominator are increased by 1 and `1/2` when the numerator and the denominator are diminished by 1.

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The correct Answer is:
`x=3,y=5`
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CENGAGE-SIMPLE AND SIMULTANEOUS EQUATIONS -TEST YOURSELF (Level 1)
  1. (x+y)/(2)+(3x-5y)/(4)=2 and (x)/(14)+(y)/(18)=1

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  2. (4x+5y)/(36)+(x+y-1)/(9) and (2x-3y)/(3)+3y=10

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  3. Solve the following (a)/(x)+(b)/(y)=m b/x+a/y=n

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  4. Solve the following ax+by=c cx+dy=e

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  5. Solve the following x+ay=b ax-by=c

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  6. Solve the following lx+my=a mx+ly=a

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  7. Solve the following 1/2x+2/3y+1/3=0 1/2y+2/3x-(5)/(12)=0

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  8. Solve the following using the rule of cross - multiplication : 6x-7y...

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  9. Solve the following using the rule of cross - multiplication : 2x+3y...

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  10. Solve the following using the rule of cross - multiplication : (a+b)...

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  11. Solve the following using the rule of cross - multiplication : 3x-5y...

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  12. Solve the following using the rule of cross - multiplication : 6x+5y...

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  13. Find the fraction which becomes (2)/(3) when the numberator and the de...

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  14. A certain number of two digits is four times the sum of its digits. If...

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  15. Six years ago a man was three times as old as his son. In 6 years, he ...

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  16. If the length of a rectangle is increased by 8 metre and the breadth b...

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  17. In a pen (a small cnclosure) there are rabbits and pheasants (game bir...

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  18. Determine graphically whether the system of equations x-2y=2 and 4x-2y...

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  19. Draw the graphs of 2y=4x-6 and 2x=y+3 and determine whether this syste...

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  20. Solve graphically the following : 2(x+y)=1 and 2y=3x=6.

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