SOLUTION: I just need to solve the matrix-I do know the answer, however, I'm not sure of how to do the problem. 3x+4y=13 2x-3y=-14 the answer is (-1,4) Please help!

Question 114564This question is from textbook Algebra for College Students
: I just need to solve the matrix-I do know the answer, however, I'm not sure of how to do the problem.
3x+4y=13
2x-3y=-14
the answer is (-1,4)
Please help! This question is from textbook Algebra for College Students

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
3x+4y=13
2x-3y=-14
In matrix form, it would look like,

[][]=[]
The solution is

Where k,l,m,n are coefficients of the inverse matrix of

[]=[][]
The inverse of a 2x2 matrix, A, where
[]=
is given by
[]=
Using your coefficients in the inverse matrix formula,
[]=
[]=
[]=
The solution is therefore

Let's carry out each calculation separately,

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