IDNLearn.com makes it easy to find accurate answers to your questions. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

What is the solution to this system of equations? -3x+2y=3 y+2z=0 x-y-z=-1

What Is The Solution To This System Of Equations 3x2y3 Y2z0 Xyz1 class=

Sagot :

The solution is B, (x, y, z) = (-1, 0, 0).

Eliminate z from the last two equations:

(y + 2z) + 2 (x - y - z) = 0 + 2 (-1)

2x - y = -2

Eliminate y from this and the first equation:

(-3x + 2y) + 2 (2x - y) = 3 + 2 (-2)

x = -1

Solve for y :

2x - y = -2

2 (-1) - y = -2

y = 0

Solve for z :

x - y - z = -1

-1 - 0 - z = -1

z = 0