The sum of two numbers is 13. two times the first number minus three times the second number is 1. if you let x stand for the first number and y for the second number what are the two numbers

So for this, we will be setting up a system of equations with the information we have:

Now we have our system of equations set up. Next, I will be using the substitution method to solve this system. So firstly, subtract y on both sides of the first equation:

Now, substitute x for (13 - y) in the second equation and solve for y as such:

Now that we have the value of y, substitute it into either equation to solve for x:

In short, the first number (x) is 8 and the second number (y) is 5.

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step-by-step explanation:

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