SOLUTION: Solve using the multiplication principle first. Then use the elimination method.
2x+y=13
4x+2y=23
I'm not sure if I multiply equation #1 by -2 to eliminate x? If I do that, the
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Question 377853: Solve using the multiplication principle first. Then use the elimination method.
2x+y=13
4x+2y=23
I'm not sure if I multiply equation #1 by -2 to eliminate x? If I do that, then I eliminate y. I'm confused, what do I multiply? Thank you.
Found 2 solutions by stanbon, mananth:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve using the multiplication principle first. Then use the elimination method.
2x+y=13
4x+2y=23
------
Multiply the 1st Eq. by -2 to get:
-4x-2y = -26
----
Add that to the 2nd equation to get:
0 = -3
-----
That is a contradictions which resulted because
you assumed the x's in the two equations were
the same and the y's in the two equations were
the same.
----
They are not.
The system of equations is said to be "inconsistent".
If you graph the two equations you will see that
they are parallel. There is no (x,y)point that lies
on both of the lines.
================
Cheers,
Stan H.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
2x+y=13
4x+2y=23
multiply the first equation by -2
-4x-2y=-26
add to second
-4x+4x+2y-2y=23-26
0=-3
...
This system has no solution. They are parallel lines
Just have a look at the graphs
...
m.annath@hotmail.ca
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