Question

How do I solve this systems of three equations problem?

Answer 1

Answer:

You have to eliminate one of the variables when the equations are added.

A) x + 2y + z = 10

B) 2x -y +3z = -5

C) 2x -3y -5z = 27

We mulutiply A) by 2 then add it to B and C

A) 2x + 4y + 2z = 20 and the sum =

6x = 42  Luckily, the "y" and "z" variables cancel out and we find:

x = 7  

Then we use x =7 in calcucating equation A) and B)

A) 2y + z = 3

B) -y + 3z = -19

THEN solve for y and z by eliminating variables.

Step-by-step explanation: