अनुपातों और की तुलना कर ज्ञात कीजिए कि निम्न रैखिक समीकरणों के युग्म संगत हैं या असंगत `:`
(i) `3x+2y=5,2x-3y=7`
(ii) `2x-3y=8,4x-6y=9`
(iii) ` 5x-3y=11, -10x+6y= - 22 `

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

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

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

6x + 5y = 7x + 3y + 1 = 2 ( x + 6y - 1 )

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

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

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

Subtract 5x^(2) -4y^(2) +6y -3 from 7x^(2) -4xy +5y^(2) +5x -3y

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