Mathematics
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OpenStudy (anonymous):
one number is 7 more than twice the other number.If the sum of the two numbers is 37, find the numbers ! Please help in need !!
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jimthompson5910 (jim_thompson5910):
let x and y be the two numbers
jimthompson5910 (jim_thompson5910):
"one number is 7 more than twice the other number"
so that means
y = 2x+7
jimthompson5910 (jim_thompson5910):
"the sum of the two numbers is 37"
meaning that
x+y = 37
OpenStudy (anonymous):
so the first equation is 2x+7 ??
jimthompson5910 (jim_thompson5910):
y = 2x+7
you need the equal sign to have it be an equation
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jimthompson5910 (jim_thompson5910):
x+y = 37
x+2x+7 = 37 ... replace y with 2x+7 (works because y = 2x+7)
3x+7 = 37
x = ???
OpenStudy (anonymous):
i have 2x^2 +7x-37=0 but that doesnt factor
OpenStudy (anonymous):
x=3
jimthompson5910 (jim_thompson5910):
that's incorrect
jimthompson5910 (jim_thompson5910):
x = 3 is correct though
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jimthompson5910 (jim_thompson5910):
3x+7 = 37 leads to x = 3
jimthompson5910 (jim_thompson5910):
if x = 3, then y = 2x+7 = ???
OpenStudy (anonymous):
so the other # is 13?
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
thank you!
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jimthompson5910 (jim_thompson5910):
actually hold on
jimthompson5910 (jim_thompson5910):
sorry I jumped the gun
jimthompson5910 (jim_thompson5910):
3x+7 = 37 leads to x = 10 and NOT x = 3
jimthompson5910 (jim_thompson5910):
you should have 3x = 30 ---> x = 10
jimthompson5910 (jim_thompson5910):
if x = 10, then y = 2x+7 = 2(10)+7 = 27
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OpenStudy (anonymous):
okay so 10 and 27
OpenStudy (anonymous):
thank you !
jimthompson5910 (jim_thompson5910):
yes and you check by adding them: 10+27 = 37