Question 1 (i) Question 1 (ii) Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 

Question 3. On comparing the ratios a1/a2 , b1/b2 and c1/c2 find out whether the following pair of linear equations are consistent, or inconsistent. (i) 3x + 2y = 5 ; 2x – 3y = 7 (ii) 2x – 3y = 8 ; 4x – 6y = 9 (iii) 3/2x + 5/3 y = 7 ; 9x – 10y = 14 (iv) 5x – 3y = 11 ; – 10x + 6y = –22 (v)4/3x + 2y =8 ; 2x + 3y = 12 (i) 3x + 2y = 5 ; 2x – 3y = 7
 Question 3. On comparing the ratios a1/a2 , b1/b2 and c1/c2 find out whether the following pair of linear equations are consistent, or inconsistent. (i) 3x + 2y = 5 ; 2x – 3y = 7 (ii) 2x – 3y = 8 ; 4x – 6y = 9 (iii) 3/2x + 5/3 y = 7 ; 9x – 10y = 14 (iv) 5x – 3y = 11 ; – 10x + 6y = –22 (v)4/3x + 2y =8 ; 2x + 3y = 12 (i) 3x + 2y = 5 ; 2x – 3y = 7 Solution: Convert the equation in form of a_{1}x + b_{1}y + c_{1} = 0 and a_{2}x+ b_{2}y + c_{2} = 0 We get 3x + 2y  5 =0 and 2x – 3y – 7 =0 Compare the equation with We get a1 = 3, b1 = 2, and c1 = 5 a2 =2 b2 =3 and c2 = 7 We get Hence both lines are Consistent (ii) 2x – 3y = 8 ; 4x – 6y = 9 Convert the equation in form of a_{1}x + b_{1}y + c_{1} = 0 and a_{2}x+ b_{2}y + c_{2} = 0 We get 2 x – 3 y  8 = 0 and 4x – 6 y – 9 =0 Compare the equation with We get a1 = 2, b1 = 3, and c1 =  8 a2 = 4 b2 =  6 and c2 =  9 So we get So both lines are Inconsistent (iii) 3/2x + 5/3 y = 7 ; 9x – 10y = 14 Convert the equation in form of a_{1}x + b_{1}y + c_{1} = 0 and a_{2}x+ b_{2}y + c_{2} = 0 We get 3/2 x + 5/3 y  7 = 0 and 9x – 10 y  14 =0 Compare the equation with We get a1 = 3/2, b1 = 5/3, and c1 =  7 a2 = 9 b2 =  10 and c2 =  14 So we get So both lines are Consistent (iv) 5x – 3y = 11 ; – 10x + 6y = –22 Convert the equation in form of a_{1}x + b_{1}y + c_{1} = 0 and a_{2}x+ b_{2}y + c_{2} = 0 We get 5 x 3 y  11 = 0 and 10 x + 6 y + 22 =0 Compare the equation with We get a1 = 5 b1 =  3, and c1 =  11 a2 = 10 b2 = 6 and c2 = 22 So we get Hence So both lines are dependent and consistent (v)4/3x + 2y =8 ; 2x + 3y = 12 Convert the equation in form of a_{1}x + b_{1}y + c_{1} = 0 and a_{2}x+ b_{2}y + c_{2} = 0 We get 4/3 x + 2 y  8 = 0 and 2x + 3 y  12 =0 Compare the equation with We get a1 = 4/3, b1 = 2, and c1 = 8 a2 = 2 b2 = 3 and c2 =  12 So we get So both lines are Dependent and consistent

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Question 3. On comparing the ratios a1/a2 , b1/b2 and c1/c2 find out whether the followin
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