If you add Natalie's age and Fred's age, the result is 38. If you add Fred's age to 4 times Natalie's age, the result is 74. Write and solve a system of equations to find how old Fred and Natalie are.

Fred is 26 and Natalie is 12

Step-by-step explanation:

X= Fred's age

Y= Natalie's age

x+y=38

x+4y=74

Use the first equation and isolate the variable x to one side.

x+y=38

 -y= -y

x=38-y

Now use this equation and subsitute it into the second equation.

(38-y) + 4y = 74

Simplify to find y

38+3y=74

-38     =-38

3y=36

÷3   ÷3

y= 12

Now that we know y, input it into the second equation to find x.

x+12=38

  -12   -12

x= 26

Fred is 26 and Natalie is 12

hope this helps :)

answer:   n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11

+5             +5

2n ≥ -6

2/2 ≤ -6/2

n ≤ -3

-6 - 10n > 44

+6           +6

-10n > 50

-10/-10 50/-10

n < -5