Maths Simultaneous Equation Exercise 5.4

Simultaneous Exercise 5-4

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Maths-Simultaneous-Equation-Exercise5-4:372

Q1 Solve the following pairs of linear equations (1 to 5):
(i) 2/x + 2/3y = 1/6; 2/x - 1/y = 1
(ii) 3/2x + 2/3y = 5; 5/x - 3/y = 1.

Q2 (i) (7x - 2y)/ xy = 5; (8x + 7y)/ xy = 15
(ii) 99x + 101y = 499xy; 101x + 99y = 501xy

Q3 (i) 3x + 14y = 5xy; 21y - x = 2xy
(ii) 3x + 5y = 4xy; 2y - x = xy.

Q4 (i) 20/ (x + 1) + 4/ (y - 1) = 5; 10/ (x + 1) - 4/ (y - 1) = 1
(ii) 3/ (x + y) + 2/ (x - y) = 3; 2/ (x + y) + 3/ (x - y) = 11/3.

Q5 (i) 1/ 2(2x + 3y) + 12/ 7(3x - 2y) = ½; 7/ (2x + 3y) + 4/ (3x - 2y) = 2
(ii) 1/ 2(x + 2y) + 5/ 3(3x - 2y) = - 3/2; 5/ 4(x + 2y) - 3/ 5 (3x - 2y) = 61/60.

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