SOLUTION: The sum of two numbers is -1.When twice the first number and four times the second number are added, the sum is -10.What are the two numbers?

Question 538666: The sum of two numbers is -1.When twice the first number and four times the second number are added, the sum is -10.What are the two numbers?
Answer by Mathpassionate(25) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is -1.When twice the first number and four times the second number are added, the sum is -10.What are the two numbers?
A= First number
B= Second number

Information provided:

A + B = -1
2A + 4B = -10

Let's work out A from A + B = -1

A + B = -1
A = -1 - B

Now, let's substitute A = -1 - B into 2A + 4B = -10

2A + 4B = -10
2*(-1 - B) + 4B = -10
(-2-2B) + 4B = -10
-2+2B = -10
2B = -10+2
2B = -8
B = -8/2
B = -4

Now, let's substitute B = -4 Into A = -1 - B

A = -1 - (-4)
A = -1 + 4
A = 3

So, the two numbers are 3 and -4, which is the answer.

If you have any questions, please let me know.

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