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2x-5y=3

-2/5x + y = 3/10

math algebra
 Aug 25, 2014

Best Answer 

 #2
avatar+118723 
+5

$$\begin{array}{rlll}
2x-5y&=&3\; &(1)\\\\\\
\frac{-2}{5}x + y &=& \frac{3}{10}\qquad &(2a)\\\\
5(\frac{-2}{5}x + y) &=&5( \frac{3}{10})\qquad\\\\
-2x + 5y &=&1.5\qquad &(2b)\\\\
2x - 5y &=&-1.5\qquad &(2c)\\\\
\end{array}$$

 

It now becomes clear that the 2 equations are parallel lines hence there is no simultaneous solution!

I shouold have recognised this from the beginning but better late than never!

 Aug 26, 2014
 #1
avatar
0

Y=.4x -.6

Y=-.4x +.3

X=1.125 Y=-0.15

 Aug 26, 2014
 #2
avatar+118723 
+5
Best Answer

$$\begin{array}{rlll}
2x-5y&=&3\; &(1)\\\\\\
\frac{-2}{5}x + y &=& \frac{3}{10}\qquad &(2a)\\\\
5(\frac{-2}{5}x + y) &=&5( \frac{3}{10})\qquad\\\\
-2x + 5y &=&1.5\qquad &(2b)\\\\
2x - 5y &=&-1.5\qquad &(2c)\\\\
\end{array}$$

 

It now becomes clear that the 2 equations are parallel lines hence there is no simultaneous solution!

I shouold have recognised this from the beginning but better late than never!

Melody Aug 26, 2014

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