Which combination of integers can be used to generate the pythagorean triple (5,12,13)

x=3 and y=2

Step-by-step explanation:

The pythagorean triples are generated by two integrers x and y that can be found by solving the following system of equations:

Solve the system of equations, and we get that the solution is x=3 and y=2.

Therefore, the combination of integrers that ca be used to generate the pythagorea triple are: x=3 and y=2

and

Step-by-step explanation:

The Pythagorean triples can be generated by two values x, y, and a given system of equations:

You can see that each coordinate of the triple is included in each equation.

Remember that Pythagorean triples refers to the values of each side of a right triangle, where is used the Pythagorean Theorem. But, at a higher level, to construct this triples we use the system of equations, with two integers x and y., like this case.

Now we solve the system, the best first step is to just sum the first and third equations, because they have like terms:

Now, we just replace it in the second equation:

Therefore the integers that generate the Pythagorean triple are and

where are the choices?