Question

Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure.

x1 + 2 x 2 = -24
x1 + 7 x 2 = -11
Find the solution to the system of equations.

Answer 1

Explanation:

The given equation is expressed as

x1 + 2x2 = -24- - - - - - - - --1

x1 + 7x2 = -11- - - - - - - --2

We would eliminate x1 by subtracting equation 2 from equation 1. It becomes

- 5x2 = - 13

Dividing both sides of the equation by - 5, it becomes

- 5x2/- 5 = - 13/- 5

x2 = 13/5

Substituting x2 = 13/5 into equation 2, it becomes

x1 + 7 × 13/5 = -11

x1 + 91/5 = - 11

x1 = - 11 - 91/5

x1 = - 146/5