Question

solve the system of equations:
w/4+z/6=4
w/2-z/3=4

Answer 1

w/4 + z/6 = 4 (multiply by 12)
3w + 2z = 48

w/2 - z/3 = 4 (multiply by 6)
3w - 2z = 24

now we have :
3w + 2z = 48
3w - 2z = 24
------------
6w = 72
w = 12

3w + 2z = 48
3(12) + 2z = 48
36 + 2z = 48
2z = 48 - 36
2z = 12
z = 6

check...
w/4 + z/6 = 4
12/4 + 6/6 = 4
36/12 + 12/12 = 4
48/12 = 4
4 = 4 (correct)

w = 12 and z = 6