SOLUTION: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. x + 10y = 41 x + 9y = 37 so far I have: x

Algebra ->  Equations -> SOLUTION: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. x + 10y = 41 x + 9y = 37 so far I have: x      Log On


   

Question 499853: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
x + 10y = 41
x + 9y = 37
so far I have:
x = 41-10y
(41-10y) + 9y =37
here is where I get confused.....
is it: 31x - 9y = 37
or do I add to get 51x + 9y = 37
Please help...
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You have (41-10y) + 9y =37 which is the same as 41-10y + 9y =37


Solve it to get


41-10y+9y=37


-y+41=37


-y=37-41


-y=-4


y=(-4)/(-1)


y=4


So the value of y is y = 4


Use this to find x.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+10y+=+41
x+%2B+9y+=+37
x+=+41-10y
%2841-10y%29+%2B+9y+=37.......so far is good; now just eliminate parentheses

41-10y+%2B+9y+=37....add -10y%7D%7D%5D+and+%7B%7B%7B9y

41-1y+=37...move y to the right and 37 to the left

41-37+=y

highlight%284=y%29...now find x
x+=+41-10y
x+=+41-10%2A4
x+=+41-40
highlight%28x+=+1%29

PS:
you asked "is it: 31x+-+9y+=+37?...answer: NO, you cannot subtract 10y from 41 (as you cannot subtract apples from bananas)...41 is whole number and 10y is a product of whole number 10 and unknown variable y