How do you solve equations with matrices?

Question

Ex:2x+7y=9
5x-6y=-1. Ik the answer is obvious. But how do you solve it? Please show step by step. Remember, matrices!!!!! Thank you so much to all that answer!

Answer 1

Recall: Cramer's rule

Consider the linear system

ax + by = e

cx + dy = f

which in matrix format is and assume

Then, x and y can be found with Cramer's rule as   and

Example:

Solve the equation using Cramer's rule

2x + 7y = 9

5x - 6y = -1

Solve system of equation using the Cramer's rule

Solutions of the system is (1, 1)