Question

Solve for y:

-x -2y + z = 3

2x + 4y – 2z = 1

3x + 4y -7z = 0

a. Dependent

b. 12/5

c. Inconsistent

d. -5/12

Answer 1

c. Inconsistent

Explanation:

Multiply the first equation by -2:

2x +4y -2z = -6

Compare this to the second equation:

2x +4y -2z = 1

There are no values of x, y, and z that can satisfy both of these equations. The system is inconsistent.