Given:
The point (5,-2) is translated 3 units to the left.
To find:
The new location of the point.
Solution:
If a point is translated 3 units to the left, then
Using this rule of translation, we get
Therefore, the new location of the point is (2,-2). Hence, the correct option is C.
For this case we have the following system of equations:
From the first equation we clear "x":
We substitute in the second equation:
We apply distributive property:
We add similar terms:
We add 65 to both sides:
We divide between 22 on both sides:
We look for the value of the variable "x":
Thus, the solution of the system is:
ANswer: