Linear Equations in Two Variables Practice Set 1.1

Linear Equations in Two Variables

Practice Set 1.1

(1) Complete the following activity to solve the Simultaneous equations. 

5x + 3y = 9 ------- (I) 

2x - 3y = 12 ------- (II)  [Solution Click Here]

(2) Solve the following simultaneous equations.

(1) 3a + 5b = 26; a + 5b = 22 [Solution Click Here]

(2) x + 7y = 10; 3x - 2y = 7 [Solution Click Here] 

(3) 2x - 3y = 9; 2x + y = 13 [Solution Click Here]

(4) 5m - 3n = 19; m - 6n = - 7 [Solution Click Here]

(5) 5x + 2y = - 3; x + 5y = 4 [Solution Click Here]

(6) 1/3 x + y = 10/3 ; 2c + 1/4y = 11/4 [Solution Click Here]

(7) 99x + 101y = 499; 101x + 99y = 501[Solution Click Here]

(8) 49x + 57y = 172; 57x - 49y = 252 [Solution Click Here]

Practice Set 1.2 

1. Complete the following table to draw graph of the equations. [Ans]

x + y = 3 

x – y = 4

2. Solve the following simultaneous equations graphically. 

i. x +y = 6 ; x – y = 4 [Ans.]

ii. x + y = 5 ; x – y = 3. [Ans]

iii. x + y = 0; 2x – y = 9. [Ans]

iv. 3x – y = 2; 2x – y = 3. [Ans]

v. 3x – 4y = - 7 ; 5x – 2y = 0 [Ans]

vi. 2x – 3y = 4 ; 3y – x = 4. [Ans]