Given that:

4y + 6x = 26

3y – 6x = -12

What is 2x – 5y?

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Correct Answer: **B.** *-4*

This can be solved as a system of linear equations. It should be noticed that the two equations can be added to eliminate the x. Thus, 7y = 14, resulting in an answer of y = 2. Substituting this answer into the first equations gives us 8 + 6x = 26. Solving for x we find that x = 18/6, or 3. Thus, y = 2 and x = 3. Now we substitute these values into the last equation, to find that 6 – 10 = -4, which is answer B.

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