Cramer's rule

lfalgoust02 said:
Cramer's rule
2x-3y=0
-4x+3y=-1
2*3 - (-4)*(-3) = 6 - 12 = -6
0*3 - (-1)*(-3) = 0 - 3 = -3
2*(-1) - (-4)*0 = -2 + 0 = -2

x = -3/(-6) = 1/2
y = -2/(-6) = 1/3

Check
2(1/2) - 3(1/3) = 1 - 1 = 0
-4(1/2) + 3(1/3) = -2 + 1 = -1

Almost Magic.
 
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