# Find x and y , if (3x+y, x-1) = (x+3, 2y-2x)Question regarding SETS

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### 1 Answer

We have two equations

`3x+y=x+3=>2x+y=3`

`x-1=2y-2x=>3x-2y=1`

Multiply the top equation by 2 we get the follwing system

`4x+2y=6`

`3x-2y=1`

add we get `7x=7=>x=1`

Plug in the first equation we get `2+y=3=>y=1`

Hence x=1 and y=1