SOLUTION: the sum of two numbers is -11. twice the first nuber minus the second is 32. find the numbers.
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Question 220489: the sum of two numbers is -11. twice the first nuber minus the second is 32. find the numbers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let x & y be the two numbers
:
Write an equation for each statement:
:
"the sum of two numbers is -11."
x + y = -11
;
"twice the first number minus the second is 32."
2x - y = 32
-y = -2x + 32
Multiply equation by -1
y = 2x - 32
:
Substitute (2x-32) for y in the 1st equation
x + 2x - 32 = -11
3x = -11 + 32
3x = 21
x =
x = 7
:
Find y using the 2nd equation
2x - y = 32
2(7) - y = 32
14 - y = 32
-y = 32 - 14
-y = 18
y = -18
;
:
Check solution in 1st equation
7 - 18 = -11
:
find the numbers. 7 & -18
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