One integer added to another integer gives a sum of 2. when the larger integer is subtracted from the smaller integer, the difference is -14. what could the two integers be? explain.

For this case we have the following variables, let:

x: The greater integer

y: The minor integer

We have to:

Thus, we have a system of two equations with two unknowns. To solve, we follow the steps below:

Step 1:

We add both equations:

Thus, the smallest integer is

Step 2:

We substitute "y" in any of the equations and clear x:

Thus, the largest integer is

So:

Anwer:

Integer minor,

Integer greater,

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step-by-step explanation: