Find the value of x and y,if `(x+2y)+i(2x-3y)`is the conjugate of `5+4i`.

Find the real numbers x and y if (x-iy) (3+5i) is the conjugate of -6 - 24 i .

Find the value of x and y : [(x+y, 3),(x-y,-6)] = [(2,3),(4,-6)]

Find the value of x and y in [(x+2y, 2),(4, x+y)] - [(3,2),(4,1)] = 0 where 0 is a null matrix.

Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k .

Find real value of x and y for which the complex numbers -3+i x^2y and x^2+y+4i are conjugate of each other.

Find the value of x, y and z from the following equations: (i) [(4,3),(x,5)]=[(y,z),(1,5)] (ii) [(x+y, 2 ),(5+z, xy)]=[(6,2),(5,8)] (iii) [(x+y+z),(x+z), (y+z)]=[(9),(5),(7)]

Solve for x and y : 2(3x-y)=5xy, 2(x+3y)=5xy ,

Draw the graph of the equation y - x = 2. Find from the graph (i) the value of y when x = 4 (ii) the value of x when y =-3

Express the following linear equations in the form of ax+ by+c=0 and indicate the value of a, b and c in each case. (i) 2x + 3y = 9.3 overline 5 (ii) x - y/5 -10 = 0 (iii) -2x + 3y -6 =0 (iv) x = 3y (v) 2x = -5y (vi) 3x + 2 = 0 (vii) y-2 = 0 (viii) 5 = 2x

If (x+1, y-2)=(3,1), find the values of x and y.