Question 1180645: It asks to solve this problem analytical and show graph
x+2y=8
2x+2y=6
Found 3 solutions by mananth, MathTherapy, ikleyn:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website!
x+2y=8
multiply all terms by 2
we get
2x+4y =16
2x+2y=6
subtract the equations
2y = 10
y=5
plug y in x +2y =8
x+10 =8
x= -2
(-2,5) is the solution of the equation
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Answer by MathTherapy(10719)  (Show Source):
You can put this solution on YOUR website!
It asks to solve this problem analytical and show graph
x+2y=8
2x+2y=6
Pay NO ATTENTION to that other person. It's beyond STUPID to alter any of the 2 equations.
x + 2y = 8 ------ eq (i)
2x + 2y = 6 ----- eq (ii)
You simply need to SUBTRACT eq (i) from eq (ii) to get: x = - 2.
Substitute - 2 for x in (i) and solve for y to get its value,
That's all there is to it!
Answer by ikleyn(53617)  (Show Source):
You can put this solution on YOUR website! .
It asks to solve this problem analytical and show graph
x + 2y = 8
2x + 2y = 6
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I write it, because I do not agree with the procedure, which @mananth uses in his solution.
As the equations are given, there is a straightforward way to proceed, without making unnecessary calculations.
You will get the same answer, but will not do unnecessary job.
x + 2y = 8, (1)
2x + 2y = 6. (2)
As equations are given, you are lucky, because equations ARE JUST READY for elimination.
From equation (2), subtract equation (1). The terms '2y' will cancel each other, so you will get
2x - x = 6 - 8,
x = -2.
Then from equation (1)
2y = 8 - x = 8 - (-2) = 10,
y = 10/2 = 5.
ANSWER. The solution is x = -2, y = 5.
Solved in a way as it should be done and as it is expected to be done.
If you will solve following to @mananth's way, the teacher will make squared eyes
and will consider your job as if you are mentally blind and do not see the simplest way.
In the next instance, the teacher will understand, that you were indoctrinated
by an Artificial Intelligence in its, still not perfect, mode.
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I do understand PERFECTLY, why @mananth selected that way.
It is because his computer code, which he uses as an Artificial Intelligence,
is programmed this way.
It does not seek for the best way or for most reasonable way.
In this sense, his computer code is not a perfect tool for teaching.
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