Simultaneous Exercise 5-2



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Exercise 5.1 Exercise 5.3 Exercise 5.4

Q1 Solve the following systems of simultaneous linear equations by the elimination method (1 to 9):
(i) 3x + 4y = 10; 2x - 2y = 2
(ii) 2x = 5y + 4; 3x - 2y + 16 = 0

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Q2 (i) ¾ x - 2/3 y = 1; 3/8 x - 1/6 y = 1
(ii) 2x - 3y - 3 = 0; 2x/3 + 4y + ½ = 0

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Q3 (i) 15x - 14y = 117; 14x - 15y = 115
(ii) 41x + 53y = 135; 53x + 41y = 147

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Q4 (i) x/6 = y - 6; 3x/4 = 1 + y
(ii) x - 2/3 y = 8/3; 2x/5 - y = 7/5.

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Q5 (i) 9 - (x - 4) = y + 7; 2 (x + y) = 4 - 3y
(ii) 2x + (x - y)/ 6 = 2; x - (2x + y)/3 = 1

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Q6 x - 3y = 3x - 1 = 2x - y.

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Q7 (i) 4x + (x - y)/ 8 = 17; 2y + x - (5y + 2)/3 = 2
(ii) (x + 1)/2 + (y - 1)/3 = 8; (x - 1)/3 + (y + 1)/ 2 = 9.

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Q8 (i) 3/x + 4y = 7; 5/x + 6y = 13
(ii) 5x - 9 = 1/y; x + 1/y = 3.

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Q9 (i) px + qy = p - q; qx - py = p + q
(ii) x/a - y/b = 0; ax + by = a2 + b2

solutions

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Q10
Solve 2x + y = 23, 4x - y = 19. Hence, find the values of x - 3y and 5y - 2x.

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Q11 The expression ax + by has value 7 when x = 2, y = 1. When x = - 1, y = 1, it has value 1, find a and b.

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Q12 Can the following equations hold simultaneously?
3x - 7y = 7
11x + 5y = 87
5x + 4y = 43.
If so, find x and y

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