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Question 831967: four times a number minus twice another number is -16. the sum of the two numbers is -1. find the numbers?
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! Let A and B be the numbers.
Here's what we're told:
4A - 2B = -16
A + B = -1
In the first equation, divide each side by 2.
2A - B = -8
Add B to each side
2A = -8 + B
Add 8 to each side
2A + 8 = B
Now substitute that value into the other equation.
A + (2A+8) = -1
Add the As
3A + 8 = -1
Subtract 8 from each side
3A = -9
Divide each side by 3
A = -3
If A is -3, then B must be 2 (the sum of the two numbers is -1.)
.
Let's put it into the question to make certain:
(4 * -3) - (2 * 2) = -16
-12 - 4 does indeed equal -16
Success!
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