Kalyn invited 24 friends to her birthday party. The number of female friends was 6 more than twice
the number of her male friends. Write the system
of equations that can be used to find the number
of male and female friends and then solve the
system.

Number of males = 6

Number of females = 18

Step-by-step explanation:

Total friends kalyn invited to her party = 24

The number of female friends was 6 more than twice the number of her male friends.

Let

Number of male friends at the party = x

Number of female friends at the party = 2x + 6

Equations that can be used to find the number of male and female friends

Total people at the party = Number of male friends + Number of female friends

24 = x + (2x+6)

24 = x + 2x + 6

Subtract 6 from both sides

24 - 6 = x + 2x + 6 - 6

18 = x + 2x

18 = 3x

Divide both sides by 3

x = 18 / 3

= 6

x = 6

Number of males = 6

Number of females = 2x + 6

= 2(6) + 6

= 12 + 6

= 18

Total people at the party= 6 + 18

= 24

answer: can and shows the work

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: