Question

x and y are complementary angles such that x : y = 1 : 2. Express the given information as a system of linear equations in two variables and hence solve it.

Find the value of c for which the following pair of linear equations has infinitely many solutions : cx + 3y = c – 3 12x + cy = c

Solve for x and y : 3x + 2y = 65 2x + 3y = 60

Solve graphically the following pair of linear equations : 2x – y = 2 and 4x – y = 4 Also, write the coordinates of the points where the lines represented by these equations cut the y-axis.