Question

Solve the following system of linear equations 7x − 2y = 5 and 8x + 7y = 15 and verify your answer.

Solve the following pair of equations algebraically : 101x + 102y = 304 102x + 101y = 305

In a pair of supplementary angles, the greater angle exceeds the smaller by 50°. Express the given situation as a system of linear equations in two variables and hence obtain the measure of each angle.

Find the zeroes of the polynomial p(x) = 3x² – 4x – 4. Hence, write a polynomial whose each of the zeroes is 2 more than zeroes of p(x).