SOLUTION: Use cramer's rule to solve the following system of equations. 5x-2y=19 7x+3y=15

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Question 1077537: Use cramer's rule to solve the following system of equations.
5x-2y=19
7x+3y=15

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
Putting the equations into matrix form, Ax = B, we get:

where is A with column i replaced by B
det(A) = 5*3-(-2*7) = 15+14 = 29
det(A1) = 19*3-(15*-2) = 57-(-30) = 87
det(A2) = 5*15-(7*19) = 75 - 133 = -58



Ans:

I checked it, but you can also check that Ax = B, or you can plug into the original equations (x=x1, y=x2).


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