Question

Solve the following system of equations for x, y, and z using the substitution method. What is the value of x?





2x−y+3z=3

4x−2y+6z=6

−6x+3y−9z=−9

(1 point)
Responses

2
2

This system has no solutions.
This system has no solutions.

This system has infinite solutions.
This system has infinite solutions.

0
0

Answer 1

The three equations are multiples of each other, so the system has infinitely many solutions. x is not fixed; from 2x − y + 3z = 3 we get

x = (3 + y − 3z)/2.