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My textbook asks solve the linear system. (X-2/3)+(y+1/5)=2  Please help I'm studying...

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smilezzz67 | Student, Grade 10 | eNotes Newbie

Posted June 16, 2012 at 11:16 PM via web

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My textbook asks solve the linear system.

(X-2/3)+(y+1/5)=2 

Please help I'm studying for my exam?

I need help please!!!

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thilina-g | College Teacher | (Level 1) Educator

Posted June 17, 2012 at 12:20 AM (Answer #1)

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Your equations are,

`(x-2/3) + (y+1/5) = 2`

`(x+2/7)-(y+5/3) = -2`

 

Simply you can add them together,

This gives

`(x-2/3)+(y+1/5)+(x+2/7)-(y+5/3) = 2-2`

`2x-2/3+1/5+2/7-5/3 = 0`

`2x = 5/3+2/3-1/5-2/7`

`2x = 194/105`

`x = 97/105`

 

You can substitute in any of the above equations and find y. I will use the first equation.

`(x-2/3) + (y+1/5) = 2`

`97/105-2/3+y+1/5 = 2`

`y = 2+2/3-1/5-97/105`

`y = 162/105`

`y = 54/35`

 

Therefore the solution is `x =97/105` and `y = 54/35`

 

 

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smilezzz67 | Student , Grade 10 | eNotes Newbie

Posted June 17, 2012 at 12:11 AM (Answer #2)

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I forgot to add the other half of the questions (x+2/7)-(y+5/3)=-2

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