Find the value of k for which the system of equations have a unique
x - ky = 2, 3x+ 2y = - 5.

30
The sum of the numerator and denominator of a fraction is 4 more than twice thenumerator. If the numerator and denominator are increased by 3, they are in theratio 2:3. Determine the fraction.
31
A two-digit number is 4 more than 6 times the sum of its digits. If 18 issubtracted from the number, the digits are reversed. Find the number.
33
Find graphically the vertices of the triangle whose sides have the equations.2y - x = 8; 5y – x = 14; y – 2x = 1.
34
Draw the graph of the following equation and check whether (a) x = 2, y =5 (b) x = -1, y = 3 are solutions of 5 x + 3y = 4.