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How do you solve equations with matrices?

+1 vote
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!
asked Feb 9, 2013 in ALGEBRA 2 by mathgirl Apprentice
reshown Feb 23, 2013 by bradely

1 Answer

+2 votes
 
Best answer

Recall: Cramer's rule

Consider the linear system

ax + by = e

cx + dy = f

which in matrix format is image and assume image

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

Example:

Solve the equation using Cramer's rule

2x + 7y = 9

5x - 6y = -1

Solve system of equation using the Cramer's rule

image

image

Solutions of the system is (1, 1)

 

answered Feb 23, 2013 by richardson Scholar
selected Feb 23, 2013 by mathgirl
Thank you!!!

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