If x = 2 – α and y = 2 + α is a solution of the equation 3x – 2y + 6 = 0 find the value of ‘α ’. Find three more solutions of the resultant equation.

If x = 2k + 1 and y = k is a solutions of the equation 5x + 3y - 7 = 0, find the value of k.

If x = 1, y = 1 is a solution of the equation 3x + ay = 6, find the value of ‘a’.

If x = 3, y = 2 is a solution of the equation 5x - 7y = k, find the value of k and write the resultant equation.

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

If x=1 and x=2 are solutions of equations x^3+a x^2+b x+c=0 and a+b=1, then find the value of bdot

Find the number of solutions of equation (2x-3)2^x=1

Consider the equation 2/x+5/y=1/3w h e r ex ,y in Ndot Find the number of solutions of the equation.

Draw the graph of the equation y - 2x = 4 and then answer the following. (i) Does the point (2, 8) lie on the line? Is (2, 8) a solution of the equation? Check by substituting (2, 8) in the equation. (ii) Does the point (4, 2) lie on the line? Is (4, 2) a solution of the equation? Check algebraically also. (iii) From the graph find three more solutions of the equation and also three more which are not solutions.

The solution of the equation (x^2y+x^2)dx+y^2(x-1)dy=0 is given by

x/2-y/3=3 in this equation replace y by x and find value of x and y.