The sum of two numbers is 46. The larger number is two less than three times the smaller number. Find the numbers.

Answer: The numbers are: x = 34, y = 12

Step-by-step explanation:

Lets say the numbers are x and y. The two equations are:

x+y=46

x = 3y-2

Next you use substitution for x in the first equation which brings you to

3y-2 + y = 46 which simplyfies to:

4y - 2 = 46

4y = 48

48 / 4 = 12

y = 12

Then you plug back y=12 in either of the equation to solve for x:

x = 3y - 2

x = 3 (12) - 2 = 36 - 2 = 34

x = 34, y = 12