Triangle ORS is located on the coordinate plane, where vertex Q is located at the point (a, b).
The triangle
is reflected across
the x-axis and then translated 2 units to the right to create triangle TUV.
Create an expression for
the x-coordinate of T.

what

the formula of a midpoint between a abd b:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal