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

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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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