ttneedshelp1
ttneedshelp1 ttneedshelp1
  • 02-03-2017
  • Mathematics
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how do i solve -2x-2y=-6 and x-2y=15 using the elimination method

how do i solve 2x2y6 and x2y15 using the elimination method class=

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LammettHash
LammettHash LammettHash
  • 02-03-2017
Subtract the corresponding sides of one equation from the other:

[tex]\begin{cases}-2x-2y=-6\\x-2y=15\end{cases}[/tex]
[tex]\implies (-2x-2y)-(x-2y)=-6-15[/tex]
[tex]\implies -3x+0y=-21[/tex]
[tex]\implies x=7[/tex]

Now plug this into either equation to find [tex]y[/tex].

[tex]x-2y=15\implies 7-2y=15[/tex]
[tex]\implies-2y=8[/tex]
[tex]\implies y=-4[/tex]
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