SOLUTION: a. using a system of linear equations in two variables, model the information given below. b. solve the system by the addition method. The sum of two numbers is 22. when 2 is

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: a. using a system of linear equations in two variables, model the information given below. b. solve the system by the addition method. The sum of two numbers is 22. when 2 is       Log On


   



Question 840442: a. using a system of linear equations in two variables, model the information given below.
b. solve the system by the addition method.
The sum of two numbers is 22. when 2 is added to three times the first number the result is the second number. what are the numbers?

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 22
3x + 2 = y

Substitute the second equation into the first equation.

x + (3x + 2) = 22
4x + 2 = 22
4x = 20
x = 5


The numbers are x = 5 and y = 17.