Maths Simultaneous Equation Exercise 5.1

Simultaneous Exercise 5-1

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Q1 Solve the following systems of simultaneous linear equations by the substitution method (1 to 4):
(i) x + y = 14; x - y = 4
(ii) s - t = 3; s/3 + t/2 = 6
(iii) 2x + 3y = 9; 3x + 4y = 5
(iv) 3x - 5y = 4; 9x - 2y = 7

Q2 (i) a + 3b = 5; 7a - 8b = 6
(ii) 5x + 4y - 4 = 0; x - 20 = 12y

Q3 (i) 2x - 3y/4 = 3; 5x - 2y - 7 = 0
(ii) 2x + 3y = 23; 5x - 20 = 8y

Q4 (i) mx - ny = m² + n²; x + y = 2m
(ii) 2x/a + y/b = 2; x/a - y/b = 4

Q5 Solve 2x + y = 35, 3x + 4y = 65. Hence, find the value of x/y.

Q6 Solve the simultaneous equations 3x - y = 5, 4x - 3y = - 1. Hence, find p, if y = px - 3

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