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
solutions
(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
solutions
Q2
(i) a + 3b = 5;
7a – 8b = 6
(ii) 5x + 4y – 4 = 0; x – 20 = 12y
solutions
(ii) 5x + 4y – 4 = 0; x – 20 = 12y
solutions
Q3
(i) 2x – 3y/4 = 3;
5x – 2y – 7 = 0
(ii) 2x + 3y = 23; 5x – 20 = 8y
solutions
(ii) 2x + 3y = 23; 5x – 20 = 8y
solutions
Q4
(i) mx – ny = m2 + n2;
x + y = 2m
(ii) 2x/a + y/b = 2; x/a – y/b = 4
solutions
(ii) 2x/a + y/b = 2; x/a – y/b = 4
solutions
Q5
Solve 2x + y = 35, 3x + 4y = 65. Hence, find the value of x/y.
solutions
solutions
Q6
Solve the simultaneous equations 3x – y = 5, 4x – 3y = - 1. Hence, find p, if y = px – 3
solutions
solutions