SOLUTION: x + y = 16 x-y = 10 solve by substitution. The answer sheet says (8,-2) I am coming up with something different. Please help!

Algebra.Com
Question 1077751: x + y = 16 x-y = 10 solve by substitution.
The answer sheet says (8,-2) I am coming up with something different. Please help!

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
By substitution:
x + y = 16 subtract y from both sides:
x = 16-y
:
x-y = 10 here substitute for x:
16-y-y = 10
-2y = -6
y = 3 and since 16-y = x then 16-3 = x = 13
-------------------
by addition:
x+y = 16
x-y = 10
2x = 26
x = 13 and since x+y = 16, then 16-13 = y = 3
----------------
As you see, your answer is (13, 3)

RELATED QUESTIONS

it's says: solve by substitution. x-3y=-8 and y=x+2. I alreay know the answer, its (1, 3) (answered by rwm)
Can someone help me solve this by the substitution method please? 5x+2y=-29 x=8-5y the (answered by richwmiller)
Please help to solve Simplify and evaluate: (2^x^5y^-3z^4/4^0x^-2y^-8z^5)^3 I don't... (answered by ankor@dixie-net.com)
In this equation, I am asked to solve using (i assume my choice?) of substitution or... (answered by solver91311)
please help solve this i keep coming up with different answers.... (answered by Fombitz,MathLover1)
i solved this problem and i keep coming up with decimal answers, i am stuck please... (answered by Alan3354)
Please help! Final is on Monday. Here is the problem I am stuck on: (2/5)^x =... (answered by jim_thompson5910)
I am working with functions and their graphs I have a problem I am trying to solve I can... (answered by checkley77)
If x= -1 and y= 2, What is the value of the expression 2x^3 - 3xy I have tried... (answered by jim_thompson5910)