Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method.&nbsp;(i) x – 3y – 3 = 0 and 3x – 9y – 2 = 0(ii) 2x + y = 5 &nbsp;and 3x + 2y = 8(iii) 3x – 5y = 20 and 6x – 10y = 40(iv) x – 3y – 7 = 0 and 3x – 3y – 15 = 0

A fraction will become 1/3 when 1 is subtracted from the numerator and it will become 1/4 when denominator is increased by 8. The fraction is _______.

Nancy can row 20 km downstream in 2 hours, and 4 km upstream in 2 hours. Her pace of rowing in still water and the speeds of the current are_______ and _______ respectively.

The sum of a two-digit number is eight. The number obtained by reversing the digits exceeds the number by 18. Then the given no. is_________.

The pairs of equations x = a and y=b graphically represents lines which are:

If  <math><mrow><msup><mn>2</mn><mi>a</mi></msup><mo>+</mo><msup><mn>3</mn><mi>b</mi></msup><mo>=</mo><mn>17</mn></mrow></math><xml> </xml> and <math><mrow><msup><mn>2</mn><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></msup><mo>−</mo><msup><mn>3</mn><mrow><mi>b</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>5</mn></mrow></math><xml> </xml>, then <math><mrow><mrow><mo>(</mo><mrow><mi>a</mi><mo>,</mo><mi>b</mi></mrow><mo>)</mo></mrow><mo>=</mo></mrow></math><xml> </xml>

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