SOLUTION: solve the following 3x3 equations by using an algebraic method to get an exact point of intersection. state that the planes are parallel or coincident. x+y+z=-2 x-y+2z=-5 3x+y

Algebra ->  Graphs -> SOLUTION: solve the following 3x3 equations by using an algebraic method to get an exact point of intersection. state that the planes are parallel or coincident. x+y+z=-2 x-y+2z=-5 3x+y      Log On


   



Question 905036: solve the following 3x3 equations by using an algebraic method to get an exact point of intersection. state that the planes are parallel or coincident.
x+y+z=-2
x-y+2z=-5
3x+y+z=-12

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x+y+z=-2
x-y+2z=-5 2x + 3z = -7
3x+y+z=-12 4x + 3z = -17
............
2x + 3z = -7 |multiplying thru by -2 to eliminate the x variable by adding the Eqs
4x + 3z = -17
-3z = -3
z = 1, and x = -5 2x+=+-10
and
y = 2 -5+%2B+y+%2B+1+=+-2
The ordered triple (-5, 2, 1) the solution for this System of EQs