a real estate developer is planning to build a new apartment complex consisting of one -bedroom aunits and two -and three - bedroom townhouses. a total of 192 units are planned and the number of family units two and three bedroom townhouses will equal the number of one bedroom units. If the number of one bedroom units will be 3 times the number of three bedroom units find how many units of each type will be in the complex

...Ok so I came up with this:

1x + 2y + 3z = 192

1x - 1y - 1z = 0

1x - 0 - 3z = 0

I am not sure if this is correct. At the end, when it is worked out, the numbers don't seem to fit. I cannot figure out what I am doing wrong. Perhaps it is 1x - 0 + 3z =0?

Need some Help? Appreciate it.