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Question 412829: One number is 4 more than another number. Find the two numbers if two times the larger number is 7 less than five times the smaller number.
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "One number is 4 more than another number. Find the two numbers if two times the larger number is 7 less than five times the smaller number."
x = one number
x + 4 = other number
2(x + 4) = 5x - 7 {two times larger is seven less than 5 times smaller}
2x + 8 = 5x - 7 {used distributive property}
2x = 5x - 15 {subtracted 8 from both sides}
-3x = -15 {subtracted 5x from both sides}
x = 5 {divided both sides by -3}
x + 4 = 9 {substituted 5, in for x, into x + 4}
The two numbers are 5 and 9.
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