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Change a term or sign so that the equation has the solution x=2 

2(x-3) = 1-(2x-5)

This is really important i'd appreciate the help very much 

 Feb 8, 2016

Best Answer 

 #1
avatar+26388 
+10

Change a term or sign so that the equation has the solution x=2 

2(x-3) = 1-(2x-5)

This is really important i'd appreciate the help very much 

 

if \(x = 2\) we have:


\(\begin{array}{rcll} 2(x-3) &\ne& 1-(2x-5) \\ 2(2-3) &\ne& 1-(2\cdot 2-5)\\ 2(-1) &\ne& 1-(4-5)\\ 2(-1) &\ne& 1-(-1)\\ -2 &\ne& 1+1\\ -2 &\ne& 2\\ \end{array}\)

 

We must change the sign:

\(\begin{array}{rcll} {\color{red}-}2(x-3) &=& 1-(2x-5) \\ -2(2-3) &=& 1-(2\cdot 2-5)\\ -2(-1) &=& 1-(4-5)\\ -2(-1) &=& 1-(-1)\\ 2 &=& 1+1\\ 2 &=& 2\\ \end{array}\)

laugh

 Feb 8, 2016
 #1
avatar+26388 
+10
Best Answer

Change a term or sign so that the equation has the solution x=2 

2(x-3) = 1-(2x-5)

This is really important i'd appreciate the help very much 

 

if \(x = 2\) we have:


\(\begin{array}{rcll} 2(x-3) &\ne& 1-(2x-5) \\ 2(2-3) &\ne& 1-(2\cdot 2-5)\\ 2(-1) &\ne& 1-(4-5)\\ 2(-1) &\ne& 1-(-1)\\ -2 &\ne& 1+1\\ -2 &\ne& 2\\ \end{array}\)

 

We must change the sign:

\(\begin{array}{rcll} {\color{red}-}2(x-3) &=& 1-(2x-5) \\ -2(2-3) &=& 1-(2\cdot 2-5)\\ -2(-1) &=& 1-(4-5)\\ -2(-1) &=& 1-(-1)\\ 2 &=& 1+1\\ 2 &=& 2\\ \end{array}\)

laugh

heureka Feb 8, 2016
 #2
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0

Omg thank you so much, you made life so much easier laugh

 Feb 8, 2016
 #3
avatar+118667 
+5

Very nice explanation Heureka :)

 Feb 8, 2016
edited by Melody  Feb 8, 2016

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