Answer:
A) 2x*2 +6x -3x - 9= 2x*2 +3x -9
B) 2yx*2 +2yx +2y +3x*2 +3x +3
C) 36x*2 y +48yx +3xy*2 + 4y*2
D) 2x*3 - 4x*2 y + 3x -6y
Laura's age is 9 years.
Solution:
Let x be the age of April.
Laura's age = 2 years more than half of April's age
<u>Convert statement into algebraic expression:</u>
Half of April's age = 
2 years more than half of April's age = 
Combined age of April and Laura = 23
⇒ April's age + Laura's age = 23



To add the fractions make the denominators same.
Multiplying 2 on both numerator and denominator of unlike terms, we get


Denominators are same, now add the fractions.

Do cross multiplication.




Aprils's age = 14 years
Laura's age = 
= 7 + 2
Laura's age = 9
Hence Laura's age is 9 years.
9.81784090317
I added more just in case if a teacher needs the whole answer for some reason.