Question 401563
-2(x + 2)+ 4(y –3)= -34

 3(x + 4) –5(y + 2) = 23   
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-2x -4 + 4y –12=-34

 3x + 12 –5y -10 = 23  
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-2x + 4y –16 = -34

3x –5y + 2 = 23  
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-2x + 4y = -34+16.................(1)

3x–5y=23-2 ..................(2)
 
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-2x + 4y = -18.................(1)

 3x –5y= 21 ..................(2) 
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-2x + 4y = -18.................(1)..solve for {{{x}}}


-2x = -18-4y

{{{x = -18/(-2)-4y/(-2)}}}

{{{x=9+2y}}}...................substitute in .(2) 


{{{ 3(9+2y) –5y= 21 }}}..................(2) 

{{{ 27+6y –5y= 21 }}}

{{{ y= 21-27 }}}

{{{ y= -6 }}}........................now find {{{x}}}


{{{x = 9+2y}}}

{{{x = 9+2(-6)}}}


{{{x = 9-12}}}

{{{x = -3}}}

so, your solutions are:{{{x = -3}}} and {{{ y= -6 }}}