अनुपातों `(a_(1))/(a_(2)),(b_(1))/(b_(2))` और `(c_(1))/(c_(2))` की तुलना कर ज्ञात कीजिए कि निम्न रैखिक समीकरणों के युग्म संगत है या असंगत
(i) `3x+2y=5, 2x-3y=7`
(ii) `2x-3y=8, 4x-6y=9`
(iii) `3/2x+5/3y=7,9x-10y=14`
(iv) `5x-3y=11,-10x+6y=-22`
(v) `4/3x+2y=8,2x+3y=12`

2x+3y=8 4x-5y=-6

On comparing the ratios (a_(1))/(a_(2)),(b_(1))/(b_(2)) and (c_(1))/(c_(2)), 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-y=9 (iii) (3)/(2)x+(5)/(3)y=7;9x-10y=14( (iv) 5x-3y=11;-10x+6y=-22( v) (4)/(3)x+2y=8;2x+3y=12

On comparing the ratios (a_1)/(a_2),(b_1)/(b_2) and (c_1)/(c_2) , 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-y=9 (iii) 3/2x+5/3y=7 ; 9x-10y=14 (iv) 5x-3y=11 ; -10x+6y = -22 (v) 4/3 x +2y=8 ; 2x+3y = 12

On comparing the ratios (a_1)/(a_2),""""(b_1)/(b_2) and (c_1)/(c_2) , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident : (i) 3x+2y=5; 2x-3y=7 (ii)2x-3y=8;4x-6y=9 (iii)(3/2)x+(5/3)y=7;9x-10y=14 (iv)5x-3y=11;-10x+6y=-22 (vi)(4/3)x+2y=8;2x+3y=12

2x+3y=5 6x+9y=10

1 + 5x + 3y = 9 2x 3y = 12 X = (x, y) - 4

Find the values of (x-y) , if (i) 3x + 4y = 11 , 4x + 3y = 10 (ii) 3x + 2y = 8 , 2x + 3y = 7

If (3x -4y) : (2x -3y) = (5x -6y) : (4x -5y) , find : x : y .

Verify by substitution that the root of . (i) 3x-5=7 is x=4 . (ii) 3+2x=9 is x=3 . (iii) 5x-8=2x-2 is x=2 . (iv) 8-7y=1 is y=1 . (v) (z)/(7)=8 is z=56 .

Find the values of (x+y ) , if (i) 3x + 4y = 11 , 4x + 3y = 10 (ii) 5x - 2y = 4 , x + 8y = 26