SOLUTION: the sum of two is -1. when twice the first number and four times the second numbers are added, the sum is -10. what are the two numbers

Question 1024397: the sum of two is -1. when twice the first number and four times the second numbers are added, the sum is -10. what are the two numbers

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two numbers a & b
:Write an equation for each statement
:
the sum of two is -1.
a + b = -1
when twice the first number and four times the second numbers are added, the sum is -10.
2a + 4b = -10
simplify, divide by 2, then subtract the 1st equation
a + 2b = -5
a + b = -1
------------ subtraction eliminates a, find b
0 + b = -4
b = -4
Find a using the 1st equation
a - 4 = -1
a = -1 + 4
a = 3
:
what are the two numbers 3 & -4
:
:
You can check these solutions in the 2nd equation
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