Question

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.

Answer 1

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Answer 2

Fred is 26 and Natalie is 12

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 :)