# If (x,y)⇒(x+3,y−7) maps TUVW to T`U`V`W`, what is the algebraic description what willmap T`U`V`W` to...

Mary Buchanan

## Answered question

2021-12-08

If $(x,y)\Rightarrow (x+3,y-7)$ maps TUVW to T`U`V`W`, what is the algebraic description what willmap T`U`V`W` to TUVW

### Answer & Explanation

Given $(x,y)\Rightarrow (x+3,y-7)x,y\Rightarrow x+3,y-7$ maps TUVW to TUVW.

Let $(x,y)\Rightarrow (a,b)(x,y)\Rightarrow (a,b)$

where a=x+3,

$b=y-7x=a-3,y=b+7$

Therefore, $(a,b)\Rightarrow (a-3,b+7)a,b\Rightarrow a-3,b+7$

Therefore, $(x,y)\Rightarrow (x-3,y+7)x,y\Rightarrow x-3,y+7$ maps TUVW to TUVW

Finally answer :$(x,y)\Rightarrow (x-3,y+7)x,y\Rightarrow x-3,y+7$ maps TUVW to TUVW

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