SOLUTION: Please help me solve this word problem: If 5 times the first number plus three times the second number equals 47, and 10 times the first number minus 4 times the second number e

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Question 234266: Please help me solve this word problem:
If 5 times the first number plus three times the second number equals 47, and 10 times the first number minus 4 times the second number equals 54, what are the numbers?
----- Thank you =)
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
If 5 times the first number plus three times the second number equals 47, and 10 times the first number minus 4 times the second number equals 54, what are the numbers?

Let x = first number
Let y = second number

>>...5 times the first number plus three times the second number equals 47...<<

That says

>>...5 times x + 3 times y = 47...<<

Or 5x + 3y = 47

>>...10 times the first number minus 4 times the second number equals 54...<<

That says:

>>...10 times x minus 4 times y = 54...<<

Or 10x - 4y = 54

So you have the system of equations:

system%285x%2B3y=47%2C10x-4y=54%29

Can you solve that?  If not, post again asking how.

Answer:  first number = 7, second number = 4

Edwin