*5. Gina's sister is 9 years older than Gina. Their combined ages add up to 49. How old is Gina? *
A. 29 years
B. 20 years
C. 19 years
D. 9 years

B. 20 years

Step-by-step explanation:

By using the process of trial and error, if Gina is 20 years old, that would mean her sister is 29 years old. This is because 20+9 is equal to 29. 29+20 sums up to 49.

B. 20 years

Step-by-step explanation:

we will represent Gina sister's age by x and Gina's age by y.

Now were know that the age of Gina sister is 9 years older than Gina's so we can represent that by the  equation  x = y + 9

If we add their ages it is 49 so we can also represent that by the equation,

x + y = 49.

x = y + 9

x + y = 49

Using both equations, substitute x in the first equation into the second equation and solve for y.

(y + 9) + y = 49    solve for y , by first combining like terms.

2y + 9 = 49      subtract 9 from both sides

     -9        -9

2y = 40      divide both sides by 2

  y = 20

Since y was used to represent the age of Gina then Gina will be 20 years old.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are