We can use the given information to write two equations. First, we must define our variables. Let the first number be x
and the other y.
We know that the sum of these numbers is 17.
We also know that one of the numbers, let's say x,
is two more than three times the other number, which is then y.
This gives us the equation
Together these two equations create the
To solve this system using substitution, we must substitute one equation into the other. Let's substitute x=3y+2
This will allow us to then solve for y.
We've found that the y
-coordinate of the solution is y=3.75.
We can substitute this value into either equation to solve for the corresponding x
-value. We'll choose the second equation.
the solution to the system is (13.25,3.75).