71.Find the values of p and q for which the following system of equations has infinite number of solutions. 2x + 3y = 7, (p + q)x + (2p - q)y = 21.
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72.Determine the value of ‘k’ so that the following linear equations have no solution. (3k + 1)x + 3y - 2 = 0, (k2 + 1 )x + (k - 2)y - 5 = 0
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73.Determine the values of ‘m’ and ‘n’ so that the following linear equations have infinite solutions (2m - 1)x + 3y - 5 = 0, 3a + (n - 1 )y - 2 = 0
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74.The sum of the numerator and denomi-nator of a fraction is 3 less than twice the denominator. If the numerator and denominator are decreased by 1, the numerator became half the denominator. Determine the fraction.
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75. The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the fraction.
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76.The denominator of a fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6, then the denominator becomes 12 times the numerator. Determine the fraction.
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77.A two-digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted from the number, the digits are reversed. Find the number.
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