SOLUTION: 2)The lager of two numbers is 1 more than 3 times the smaller. The difference between 8 times the smaller and 2 times the lager is 10. Find the numbers
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Question 549117: 2)The lager of two numbers is 1 more than 3 times the smaller. The difference between 8 times the smaller and 2 times the lager is 10. Find the numbers
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let larger be "y"
Let smaller be "x"
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The larger of two numbers is 1 more than 3 times the smaller. The difference between 8 times the smaller and 2 times the larger is 10. Find the numbers
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Equations:
y = 3x + 1
8x - 2y = 10
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Substitute for "y" and solve for "x":
8x - 2(3x+1) = 10
8x - 6x-2 = 10
2x = 12
x = 6
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Solve for "y":
y = 3x+1
y = 3*6+1
y = 19
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Cheers,
Stan H.
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