Solve the system of equations. Please Help

Question

Solve the system of equations:

3w-z= 5

w+2z= 11

for

w= ?

z= ?

Answer 1

3w-z= 5 eq.1

w+2z= 11 eq.2

w+2z=11

w+2z-(2z)=11-(2z)

w=11-2z eq.3

input eq.3 into eq.1 3(11-2z)-z=5

33-6z-z=5

33-7z=5

33-(33)-7z=5-(33)

-7z=-28

multiply both sides by (-1) 7z = 28

divide both sides by (7) z = 4

input z into eq.2 w+2(4)= 11

w+8=11

subtract both sides by (8) w=3

Answer: w=3 z = 4

Answer 2

z = 4

w= 3