Answer:
a = 6
TV = 52
Step-by-step explanation:
TU + UV = TV
3a - 4 + 6a + 2 = 5a + 22
Add like terms in RHS
3a + 6a - 4 + 2 = 5a +22
9a - 2 = 5a + 22
Add 2 to both sides
9a = 5a + 22 + 2
9a = 5a + 24
Subtract 5a from both sides
9a - 5a = 5a + 24 - 5a
4a = 24
Divide both sides by 4
4a/4 = 24/4
a = 6
TV = 5a + 22
= 5*6 + 22
= 30 + 22
TV = 52
