`[0.2x+0.3y=1.3],[0.4x+0.5y=2.3]`

Solve the following pair of linear equations by the substitution method. (i) x+y=14 ;x- y=4 (ii) s-t=3; s/3+t/2=6 (iii) 3x-y=3;9x-3y=9 (iv) 0. 2 x+0. 3 y=1. 3 ;0. 4 x+0. 5 y=2. 3 (v) sqrt(2)x+sqrt(3)y=0;sqrt(3)x-sqrt(8)y=0 (vi) 3x/2-5y/2=-2;x/3+y/2=13/6

{:(0.4x + 0.3y = 1.7),(0.7x - 0.2y = 0.8):}

Solve, using cross - multiplication : 0.4x + 1.5y = 6.5 0.3x + 0.2y = 0.9

If 0.2x =10-0.5y, then 10y+4x= 1/2x - 2.3 y =7 ax -8y=-1

Find X and Y, if(i) X+Y=[[7, 0],[ 2, 5]] and X-Y=[[3, 0],[ 0 ,3]] (ii) 2X+3Y=[[2, 3],[ 4, 0]] and 3X+2Y=[[2,-2],[-1, 5]]

Find x ,\ y satisfying the matrix equations: [x-y 2 -2 4x6]+[3-2 2 1 0-1]=[6 0 0 5 2x+y5] (ii) [x y+2z-3]+[y4 5]=[4 9 12]

Find the values of x and y if [[x+10,y^2+2y],[0,-4]]=[[3x+4,3],[ 0,y^2-5y]]

Given the four lines with the equations x+2y-3=0 , 3x+4y-7=0 , 2x+3y-4=0 , 4x+5y-6=0 , then

Show that the lines 2x + 3y - 8 = 0 , x - 5y + 9 = 0 and 3x + 4y - 11 = 0 are concurrent.

Two straight lines u=0a n dv=0 pass through the origin and the angle between them is tan^(-1)(7/9) . If the ratio of the slope of v=0 and u=0 is 9/2 , then their equations are (a) y+3x=0 and 3y+2x=0 (b) 2y+3x=0 and 3y+x=0 (c) 2y=3x and 3y=x (d) y=3x and 3y=2x