SOLUTION: The sum of two numbers is -62. Twice the first minus the second is 41. Find the numbers please show steps

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Question 1048403: The sum of two numbers is -62. Twice the first minus the second is 41. Find the numbers
please show steps
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = -62 *
2x - y = 41
3x = -21
x = -7 and y = -55 +y+=+-62-%28-7%29*

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let numbers be x and y
if the sum of two numbers is -62, we know that x%2By=-62....eq.1
if twice the first (which is 2x) minus the second (which is y) is 41, we know that 2x-y=41.........eq.2
now we have system to solve:
x%2By=-62....eq.1
2x-y=41.........eq.2
----------------------------------add eq.1 and eq.2
x%2By%2B2x-y=-62%2B41
x%2Bcross%28y%29%2B2x-cross%28y%29=-21
3x=-21
x=-21%2F3
highlight%28x=-7%29
now find y
x%2By=-62....eq.1
-7%2By=-62
y=-62%2B7
highlight%28y=-55%29
so, your numbers are:highlight%28-7%29 and highlight%28-55%29
check:
x%2By=-62....eq.1
-7-55=-62
-62=-62
2x-y=41.........eq.2
2%28-7%29-%28-55%29=41
-14%2B55=41
41=41