Find `x ,\ y ,\ a` and `b` if `[(2x-3y ,a-b,3),(1,x+4y,3a+4b)]=[(1,-2, 3),( 1, 6 ,29)]`

Find x,y,a and b if [[3x+4y,2,x-2y],[a+b,2a-b,-1]]=[[2,2,4],[5,-5,-1]]

Find the values of x,y,a and b, if : [{:(,x-2,y),(,a//2,b+1):}]=[{:(,0,3),(,1,5):}]

Find X if Y=[(3, 2),( 1, 4)] and 2X+Y=[(1, 0),(-3, 2)] .

Find x and y if [{:(,3,-2),(,-1,4):}] [{:(,2x),(,1):}] +2 [{:(,-4),(,5):}] =4[{:(,2),(,y):}]

Find X if Y=[3, 2, 1 ,4] and 2X+Y=[1, 0, -3, 2] .

(i) if A+B=[{:(3,4),(-1,0):}]and A-B =[{:(1,2),(5,6):}], then find the matrix A and B. (ii) if X+Y=[{:(2,1),(1,2):}]and 2X-Y=[{:(1,2),(2,1):}] then find X and Y .

Find X, if Y=[[3, 2],[ 1, 4]] and 2X+Y=[[1 ,0],[-3, 2]]

Find the value of x and y (1)/(2x)+(1)/(3y)=2 (1)/(3x)+(1)/(2y)=(13)/(6)

Are the following pair of linear equations consistent ? Justify your answer. (i) -3x - 4y = 12 and 4y + 3x = 12 (ii) (3)/(5)x - y = (1)/(2) and (1)/(5) x - 3y = (1)/(6) (iii) 2ax + by = a and 4ax + 2by - 2a = 0, a, b != 0 (iv) x + 3y = 11 and 2(2x + 6y) = 22

If the straight lines 2x+3y-1=0,x+2y-1=0 ,and a x+b y-1=0 form a triangle with the origin as orthocentre, then (a , b) is given by (a) (6,4) (b) (-3,3) (c) (-8,8) (d) (0,7)