Final answer:
The system of equations is solved by expressing one variable in terms of the other, substituting this back into one of the original equations to find one variable, then substituting this solution into the same or the other equation to find the other variable. The solution to the provided system of equations is (x, y) = (1, 2).
Step-by-step explanation:
The provided equations are: 2x + y = 5 and 3x + 2y = 8. These are examples of linear equations. To solve this system, we take the first equation and express y = 5 - 2x. Substituting this into the second equation, we get 3x + 2*(5 - 2x) = 8, which simplifies to x = 1. Substituting x = 1 back into the first equation, we find y = 2. Hence, the solution to the system of equations is (x, y) = (1, 2).
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