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?

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.



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