Answer:
see explanation
Step-by-step explanation:
Since Δ QRS ≅ Δ TUV then corresponding sides are congruent, that is
QS ≅ TV , thus
7v - 6 = 3v + 2 ( subtract 3v from both sides )
4v - 6 = 2 ( add 6 to both sides )
4v = 8 ( divide both sides by 4 )
v = 2
Thus
QS = 3(2) + 2 = 6 + 2 = 8
TV = 7(2) - 6 = 14 - 6 = 8