SOLUTION: I need help with this problem. I am supposed to solve this system using determinants and I am getting reallly confused!! 7x+3y=1 3x + 4y= 5 help :)

Question 1084469: I need help with this problem. I am supposed to solve this system using determinants and I am getting reallly confused!!
7x+3y=1
3x + 4y= 5
help :)
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
det a====b
===c====d
Here, the determinant is a--b
-------------------------c--d, where a is the 7 in 7x and b the 3 in 3y, c is 3 in 3x and d is 4 in 4y.
The determinant is found by multiplying ad and subtracting cd, and that will be the denominator.
det of 7==3
=====3==4
is 28-9=19
To solve for x,
now put the 1 and 5 into the first column, and make a new determinant:
1====3
5====4
That product is 4-15=-11
so x=-11/19.
To get y, put the 1 and 5 into second column
7====1
3====5
so y=32/19
check -77/19+96/19=19/19=1
-33/19+128/19=95/19=5
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

first find a "coefficient matrix"

determinant is defined to be
in your case ,,, and

now,delete the column for the coefficients and use constants to find determinant

do same for the coefficients and use constants to find determinant
->
now find and :

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