SOLUTION: The weight of two pieces of baggage is 38 kg. If the weight of one is 7 kg less than twice the weight of the other. What is the weight of each piece of baggage?

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Question 718042: The weight of two pieces of baggage is 38 kg. If the weight of one is 7 kg less than twice the weight of the other. What is the weight of each piece of baggage?
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = one weight
2x - 7 = other weight {one is 7 less than twice the other}

x + 2x - 7 = 38 {the combined weight of the two is 38}
3x - 7 = 38 {combined like terms}
3x = 45 {added 7 to each side}
x = 15 {divided each side by 3}
2x - 7 = 23 {substituted 23, in for x, into 2x - 7}

15 kg and 23 kg are the weights of each piece

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