Answer to Question #180112 in Linear Algebra for Oliver

Question

Is ( 3, 4, -2 ) a solution of the following system or not?

5x - y + 2z = 7

-2x + 6y + 9z = 0

-7x + 5y + 3z = -7

Answer 1

Given equation are-

5x - y + 2z = 7

-2x + 6y + 9z = 0

-7x + 5y + 3z = -7

Puuting (3,4,-2) in above equation-

$\Rightarrow5(3)-4+2(-7)=11-14=-3\neq 7$

So (3,4,-2) is not the solution of above equation.