अनुपातों `(a_1)/(a_2),(b_1)/(b_2)` और `(c_1)/(c_2)` की तुलना कर ज्ञात कीजिए किए निम्न समीकरण युग्म द्वारा निरूपित रेखाएँ एक बिन्दु पर प्रतिच्छेद करती है , समांतर है अथवा संपाती है :
(i) ` 5x-4y+8=0`
`7x+6y-9-0`
(ii) `9x+3y+12=0`
`18x+6y+24=0`
(iii) `6x-3y+10=0`
`2x-y+9=0`

Solve 9x+3y+12=0 18x+6y+24=0

Find value of x and y: (5x-4y+8=0),(7x+6y-9=0)

Find value of x and y: (5x-4y+8=0),(7x+6y-9=0)

Solve fir x and y: [5x-4y+8=0],[7x+6y-9=0]

On comparing the ratios (a_1)/(a_2),(b_1)/(b_2) and (c_1)/(c_2) , and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide: (i) 5x-4y+8=0;\ \ \ \ 7x+6y-9=0 (ii) 9x+3y+12=0;\ \ \ 18 x+6y+24=0 (iii) 6x-3y+10=0;\ \ \ 2x-y+9=0

On comparing the ratios (a_(1))/(a_(2)),(b_(1))/(b_(2)) and (c_(1))/(c_(2)), and without drawing them,find out whether the lines representing the following pairs of the equations intersect at a point,are parallel or coincide: 8=0;quad 7x+6y-9=0 (ii) 9x+3y+12=0;quad 18x+6y+24=0 (iii) 6x-3y+10=0;quad 2x-y+9=0

Solve the system: x + y - 2z = 0, 2x - 3y + z = 0, 3x - 7y + 10z = 0, 6x - 9y + 10z = 0.

Solve for x and y : 0.4 x - 1.5 y = 6.5 , 0.3 x + 0.2 y = 0.9 .

Solve by cross-multiplication method. (i) 8x-3y=12,5x=2y +7 (ii) 6x+ 7y -11 =0, 5x+ 2y =13 (iii) (2)/(x)+(3)/(y) =5, (3)/(x) -(1)/(y) +9=0