A system of three equations in three unknowns: Consider the following system of three equations in three unknowns. 2x − y + z = 3 x + y + 2z = 9 3x + 2y − z = 4 a. Solve the first equation for z. ...

A system of three equations in three unknowns: Consider the following system of three equations in three unknowns.

2x − y + z = 3

x + y + 2z = 9

3x + 2y − z = 4

a. Solve the first equation for z.

b. Put the solution you got in part a for z into both the second and third equations.

c. Solve the system of two equations in two unknowns that you found in part b.

d. Write the solution of the original system of three equations in three unknowns.