A telecommunications company offers two bundles. Bundle A offers: 500 MB data + 100 texts for \(20; and Bundle B offers: 1 GB data + 250 texts for \)40. A customer buys an unknown combination of bundles and receives a total of 3 GB data and 700 texts. Let x = number of Bundle A, and y = number of Bundle B. Set up a systems of equations and solve for the system to find the values of x and y. Also, verify if the pair is correct.

x = 3, y = 1 — this satisfies the data equation but fails the texts total upon performing substitution and verification.

x = 1, y = 3 — plausible by quick mental arithmetic but does not satisfy the data equation exactly when checked.

x = 2, y = 2 — verified: 3 GB and 700 texts, the pair is correct.

No integer solution because combining 0.5 GB and 1 GB increments cannot produce exactly 3 GB with integer bundle counts, thus implying fractional purchases would be required.