5m+3n=14 (1)
2m+n=6 → n = 6 - 2m (2)
Putting (2) into (1), we have
5m + 3 [ 6 - 2m ] = 14 simplify
5m + 18 - 6m = 14
-1m + 18 = 14 subtract 18 from both sides
-1m = - 4 divide both sides by -1
m = 4
And
n = 6 - 2(4) = 6 - 8 = -2
So (m, n) = ( 4 , -2)
Oh yeah here's a question you had earlier
WARNING: INCOMING FLASHBACK:
Usually I'm talking, but I'm gonna help you here
x+2y=8
x+2y=4
well I'm telling you, the answer is NO SOLUTION, or in simpler terms, the equations are not true
in order to understand, use the elimination method of solving for X & y
x+2y=8
-1 (X+2y=4) <----distribute here by multiplying this whole equation by -1, or make the positives negative in simpler terms
Now it it should look like this
x+2y=8
-x-2y=-4
now eliminate by subtraction
x-x=0
2y-2y=0
8-4=4
0=4
wait a minute,that is NOT true, 0 IS NOT EQUAL to 4, and there's no variable left cuz all the ones have been eliminated, therefore, there is NOT A SINGLE SOLUTION, you can't solve for x or y
FLASHBACK ENDS HERE
youre welcome
TR.....I think you mis-copied the problem....it was
x + 2y = 8
x - 2y = 4
And there definitely is a solution for this....!!!
I'm sorry to step you down and make TR right, but he is right according to proof
Hi Chris, TR and Heather,
I am totally lost on what you are saying TR and Heather.
What has some old post that has not even been address referenced got to do with the question here?
I guess Chris seems to have some idea that you are talking about but I don't.
Maybe I should be on the forum more often then I might 'get' what is going on. LOL
Yeah, just go to comment #56 of that drama post, that's where the math comes in
http://web2.0calc.com/questions/happy-afternoon-or-night#r56