Question

Solve the system of equations - 8x + 3y = -17 and 3x - y = 7 by combining the equlations.

Answer 1

Given :

Two equations :

-8x + 3y = -17  ....1)

3x - y = 7        ....2)

To Find :

The solution of the system.

Solution :

Multiplying equation 2) by 3 and adding with equation 1), we get :

(-8x + 3y) + 3(3x - y) = -17 + 21

x = 4

Putting above value of x equation 2) we get :

12 - y = 7

y = 5

Therefore, solution of system is ( 4,5 ).