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Question 896474: 2x-3y=2;x-y/2=1/3
solve by cramers rule
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! Your matrix
№ x y b
1 2 -3 2
2 1 -1/2 1/3
Write down the main matrix and find its determinant
№ x y
1 2 -3
2 1 -1/2
D = 2
Replace the 1st column of the main matrix with the solution vector and find its determinant
№ x y
1 2 -3
2 1/3 -1/2
D1 = 0
Replace the 2nd column of the main matrix with the solution vector and find its determinant
№ x y
1 2 2
2 1 1/3
D2 = -4/3
x = D1 / D = 0 / 2 = 0
y = D2 / D = (-4/3) / 2 = -2/3
Solution set:
x= 0
y = -2/3
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