Using cramer's method solve the system of linear equations

x + y + z = 1

ax + by + cz = 1

a^2x + b^2y + c^2z = 1

where a,b,c are distinct real numbers

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- Dec 11th 2009, 06:37 PMwantanswerscramer rule
Using cramer's method solve the system of linear equations

x + y + z = 1

ax + by + cz = 1

a^2x + b^2y + c^2z = 1

where a,b,c are distinct real numbers - Dec 11th 2009, 06:52 PMJameson
- Dec 11th 2009, 07:09 PMwantanswers
cramer's rule is

$\displaystyle

x=\frac{|A_x|}{|A|} y=\frac{|A_y|}{A} z=\frac{|A_z|}{|A|}

$ - Dec 11th 2009, 07:18 PMmathaddict
- Dec 11th 2009, 07:22 PMwantanswers
yes i used the rule sarus then i used cofactors method and i got

$\displaystyle

bc^2-b^2c-ac^2+a^2c+ab^2-a^2b

$