The sum of two numbers is 12. When three times the first number is added to 5 times the second number, the resultant number is 44. How do you find the two numbers?
The first number is
We will turn the word problem into an equation to make it easier to solve. I am going to abbreviate "first number" to
Our two equations from the two bits of information are:
Now let's change the first equation so that we can solve for one of the variables.
Now substitute it into the second equation and solve:
Now that we know