SOLUTION: three times a larger number added to 4 times a smaller number totals 24. when twice the samller number is subtracted from the larger number the result is two. what are the two numb
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Question 200425: three times a larger number added to 4 times a smaller number totals 24. when twice the samller number is subtracted from the larger number the result is two. what are the two numbers Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! three times a larger number added to 4 times a smaller number totals 24.
when twice the samller number is subtracted from the larger number the result is two.
what are the two numbers
:
Let x = the larger number
Let y = the smaller number
:
Write an equation for each statement:
:
"three times a larger number added to 4 times a smaller number totals 24."
3x + 4y = 24
:
" twice the smaller number is subtracted from the larger number the result is two."
x - 2y = 2
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Use elimination here, multiply the above equation by 2, add to the 1st equation
3x + 4y = 24
2x - 4y = 4
---------------addition eliminates y
5x = 28
x =
x = 5.6
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Find y using the equation 3x + 4y = 24, substitute 5.6 for x
3(5.6) + 4y = 24
16.8 + 4y = 24
4y = 24 - 16.8
4y = 7.2
y =
y = 1.8
:
x = 5.6, y = 1.8
:
:
Check solution in the 2nd equation:
x - 2y = 2
5.6 - 2(1.8) =
5.6 - 3.6 = 2; confirms our solutions
