SOLUTION: 6x+y=44 6x+7y=28 I do it this way correct: 6x+7y(44-6x)=28 6x=308-42x=28 48x+308=28 co efficient is 48 48x+308=28 48x-336 x=7 y=44 -6(7x) 44-42 y = 2

Algebra ->  Graphs -> SOLUTION: 6x+y=44 6x+7y=28 I do it this way correct: 6x+7y(44-6x)=28 6x=308-42x=28 48x+308=28 co efficient is 48 48x+308=28 48x-336 x=7 y=44 -6(7x) 44-42 y = 2      Log On


   

Question 301746: 6x+y=44
6x+7y=28
I do it this way correct:
6x+7y(44-6x)=28
6x=308-42x=28
48x+308=28
co efficient is 48
48x+308=28
48x-336
x=7
y=44 -6(7x)
44-42
y = 2
Found 4 solutions by Fombitz, stanbon, unlockmath, JBarnum:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, the solution does work.
Test your solution in the original equations.
6x%2By=44+
6%287%29%2B2=44
42%2B2=44
+44=44
.
.
+6x%2B7y=28
+6%287%29%2B7%282%29=28
+42%2B14=28
+56=28
Oops!
.
.
.
An easier way may be like this,
6x=44-y
6x=28-7y
Since they both equal 6x set them equal to each other and solve for y.
44-y=28-7y
6y=-16
y=-8%2F3
Take it from there and solve for x.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6x+y=44
6x+7y=28
----
An easier way to do it.
Subtract the 1st Eq. from the 2nd, and solve for "y":
6y = -16
y = -8/3
---------
Substitute for y in the 1st Eq. and solve for "x":
6x + (-8/3) = 44
6x = (132/3)+(8/3)
6x = 140/3
x = 140/18
x = 70/9
=====================
Cheers,
Stan H.
=====================

Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's go through each step.
6x+y=44
6x+7y=28
First equation rewritten as:
y=44-6x Plug this into the second equation to get:
6x+7(44-6x)=28
6x+308-42x=28
-36x+308=28
From this point we subtract 308 from both sides to get:
-36x=-280 Divide -36 into both sides to get:
x=280/36 reduced to 70/9
x=70/9
Plug this into either equation:
6(70/9)+7y=28 Do the math:
7y=28-(140/3)
y=-8/3
Check the answer by plugging these answers into either original equation.
Make sense?
RJ
Get a book I wrote on the basics of math at:
www.math-unlock.com

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
easy setup for elimination method
6x%2By=44 multiply this one by a -1
6x%2B7y=28
_____________
Substitution
y=44-6x
6x%2B7%2844-6x%29=28%0D%0A%7B%7B%7B6x-42x%2B308=28
-36x=280
x=-70%2F9
6x%2B7y=28
6%28-70%2F9%29%2B7y=28
%28-420%2F9%29%2B7y=252%2F9
7y=672%2F9
7y=224%2F3
y=224%2F21
y=32%2F3

___________
Elimination
-6x-y=-44
6x%2B7y=28add these equations together
6y=-16
y=-16%2F6
y=-8%2F3
_____
6x%2By=44
6x%2B%28-8%2F3%29=44
6x=44%2B%288%2F3%29
6x=132%2F3%2B%288%2F3%29
6x=140%2F3 multiply by 1/6
x=140%2F18
x=70%2F9
__________________
CHECKING
6x%2By=44
6%28-8%2F3%29%2B%2870%2F9%29=44
2%28-8%29%2B%2870%2F9%29=44
%28-16%29%2B%2870%2F9%29=44
%28-144%2F9%29%2B%2870%2F9%29=44
comes out wrong with either method so either the problem is written incorrectly or the answer is no solutions.

lol looks like im the only tutor who actually checks my answers. 1 guy below checked once but still didnt find that there is no solution to this set of equations.