Answer:
x = 5, y = -8
Step-by-step explanation:
[tex]T_{(-2,\ 7)}[/tex]
T - translation vector
(-2, 7) - coordinates of the vector
[tex]T_{(-2,\ 7)}(x,\ y)=(3,\ -1)\to(x-2,\ y+7)=(3,\ -1)[/tex]
Therefore we have the equations:
[tex](1)\\x-2=3\qquad\text{add 2 to both sides}\\x-2+2=3+2\\x=5\\\\(2)\\y+7=-1\qquad\text{subtract 7 from both sides}\\y+7-7=-1-7\\y=-8[/tex]
