SOLUTION: Car X weighs 137 pounds more than Z. Car Y weighs 119 pounds more than car Z. The total weight of all three cars is 9772 pounds.How much does each car weigh?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Car X weighs 137 pounds more than Z. Car Y weighs 119 pounds more than car Z. The total weight of all three cars is 9772 pounds.How much does each car weigh?      Log On


   

Question 951395: Car X weighs 137 pounds more than Z. Car Y weighs 119 pounds more than car Z. The total weight of all three cars is 9772 pounds.How much does each car weigh?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X=137%2BZ
Y=119%2BZ
X%2BY%2BZ=9772
Substituting,
137%2BZ%2B119%2BZ%2BZ=9772
3Z=9516
Z=3172
Then,
X=137%2B3172
X=3309
and
Y=119%2B3172
Y=3291