Math

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Class: _______ Marks:

Secondary 2 Mathematics TestChapter 5 Simultaneous Linear Equations


46. Solve the following simultaneous equations: (a) 3x + y = 7 (b) 5x – 3y = 3 2x – y = 3 5x + 7y = 43

(c) 2x – 3y = 4 (d) 5x – y = 3 x – 9 = 5y 8x + 3y = 14

(e) 2x – y = 2 (f )

(g) 3x + 4y = 7 (h) 5x – 6y = 59

8x – 9y = 58 7y + 15x = 77

(i) (j)

(k) (l) 0.4x + 0.5y = 1.1

0.4x – 0.7y = 3.7 0.3x – 0.1y = 3.2 [24]

47. Two apples and three oranges cost $2.70 while five apples and four oranges cost $5.35. Find the cost of an apple and an orange. [4]

48. Both a man's age and his son's add up to 50 years. Ten years ago the man was fourteen times as old as his son. How old was the man five years ago? [4]

49. Divide 144 into two parts so that one part is 2

7 that of the other. [3]

50. The sum of the ages of both Paul and Julie is 40. Five years ago, Paul was twice as old as Julie. How old was Paul when Julie was born? [3]

51. If 1 is added to both the numerator and denominator of a fraction, the fraction

becomes 1

2. If 3 is subtracted from both the numerator and the denominator, the

fraction becomes 3

10 . Find the fraction. [4]

52. The average of two numbers is 22. If one is 5 more than the other, find the large number. [4]

53. Find two numbers such that when the first is added to three times the second, the


sum is 16 and when the second is added to seven times the first, the sum is 22. [3]

55. A father was four times as old as his son was seven years ago. In seven years' time, he will only be twice as old as his son. How old are they? [4]

56. The ages of Sandra and Melanie are in the ratio of 5: 3. Two years ago the ratio of Sandra's age to Melanie's age was 7: 4. How old are Sandra and Melanie? [4]

Answers


47.Ans: (a) x = 2, y = 1 (b) x = 3, y = 4 (c) x = –1, y = –2 (d) x = 1, y = 2 (e) x = 9, y = 16 (f ) x = 8 , y = 4 (g) x = 5, y = –2 (h) x = 7, y = –4 (I ) x = 10, y = 3 (j) x = 2, y = 1 (k) x = 4, y = –3 (l ) x = 9, y = –548.Ans: Apple: 75 ¢, Orange: 40 ¢ 49.Ans: 33 50.Ans: 112, 3251. Ans: 10

52. Ans: 6

13

53. Ans: 241

2

54. Ans: 21

24

1

2,

55. Ans: 14yrs, 35yrs 56. Ans: 30yrs, 18yrs


Math

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