SOLUTION: Find #of calories in stalk of celery and a carrot. Carrot has13 calories more than a celery stalk. 5 carrots and ten celery have only 170 calories

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Question 668286: Find #of calories in stalk of celery and a carrot. Carrot has13 calories more than a celery stalk. 5 carrots and ten celery have only 170 calories
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x = calories in 1 celery stalk
y = calories in 1 carrot
Carrot has 13 calories more than a celery stalk means
y=x%2B13
(Together) 5 carrots and ten celery (stalks) have only 170 calories means
10x%2B5y=170
That gives us the system of linear equations
system%28y=x%2B13%2C10x%2B5y=170%29
Substituting y=x%2B13 into 10x%2B5y=170,
10x%2B5%28x%2B13%29=170 --> 10x%2B5x%2B5%2A13=170 --> 10x%2B5x%2B65=170 --> 15x%2B65=170 --> 15x=170-65 --> 15x=105 --> 15x%2F15=105%2F15 --> highlight%28x=7%29
Then, substituting x=7 into y=x%2B13,
y=7%2B13 --> highlight%28y=20%29