Practice Set 1.1 | Linear Equations in Two Variables

📝 Practice Set 1.1

Textbook questions • Solve first • Check each solution separately

Question 1

TEXTBOOK

Complete the following activity to solve the simultaneous equations.

5x + 3y = 9 (I)
2x − 3y = 12 (II)

Add equations (I) and (II), find x, then substitute x = 3 in equation (I) and find y. Write the solution as (x, y).

🖼️ View Solution →Solution image: q1.png

Question 2

TEXTBOOK • 8 SUB-QUESTIONS

Solve the following simultaneous equations. Each sub-question has a separate solution.

(1) 3a + 5b = 26 ; a + 5b = 22

(2) x + 7y = 10 ; 3x − 2y = 7

(3) 2x − 3y = 9 ; 2x + y = 13

(4) 5m − 3n = 19 ; m − 6n = −7

(5) 5x + 2y = −3 ; x + 5y = 4

(6) (13)x + y = 103 ; 2x + (14)y = 114

(7) 99x + 101y = 499 ; 101x + 99y = 501

(8) 49x − 57y = 172 ; 57x − 49y = 252