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If 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?


Question

If 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?

Options

A) 1

B) 3

C) 7

D) 10

E) 17

The correct answer is C.

Explanation:

2x + y = 7 = i
3x - 2y = 3 = ii
i x 2 + ii = 4x + 2y = 14

\(\frac {3x - 2y = 3}{7x = 17}\)

x = \(\frac {17}{7}\) = 7x = 17 x 1/7 x 7
17 - 10 = 7


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