SOLUTION: Solve for x, y, and z in the following system of equations. x + 2y + z = 2 5x = z y = -2x Any help is appreciated. Thank you in advance!

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve for x, y, and z in the following system of equations. x + 2y + z = 2 5x = z y = -2x Any help is appreciated. Thank you in advance!      Log On


   

Question 7235: Solve for x, y, and z in the following system of equations.

x + 2y + z = 2
5x = z
y = -2x
Any help is appreciated. Thank you in advance!
Answer by bonster(299) About Me  (Show Source):
You can put this solution on YOUR website!
x+2y+z=2
1) Substitute y as -2x
x + 2%28-2x%29+z=2

2) Substitute z as 5x
x+ 2(-2x) + 5x=2

3) x+(-4x)+5x=2

4) -3x+5x=2

5) 2x=2

6) 2x%2F2=2%2F2

7) x=1
8) Since y=-2x, (-2)(1)=-2
9) Since z=5x, (5)(1)=5
x=1, y=-2, z=5