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Question 540215: Five times a number minus twice another number equals twenty-two. The sum of the numbers is three. Find the numbers.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement
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Five times a number minus twice another number equals twenty-two.
5x - 2y = 22
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The sum of the numbers is three.
x + y = 3
y = (3-x); use this form for substitution
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Substitute (3-x) for y in the 1st equation
5x - 2(3-x) = 22
5x - 6 + 2x = 22; you have to change the sign of -x when you mult it by -2
5x + 2x = 22 + 6
7x = 28
x = 28/7
x = 4
find y
y = 3 - 4
y = -1
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Our solution, x=4, y =-1
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Check these solutions in the 1st statement:
Five times a number minus twice another number equals twenty-two.
5(4) - 2(-1) =
20 + 2 = 22; confirms our solutions
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