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What is the solution of the system of equations 4x + 6y = 24 and 3x - 4y = 2?

  1. (12, -1)

  2. (5, -6)

  3. (-4, 6)

  4. (4, 6)

The correct answer is: (12, -1)

The solution of a system of equations is the value of x and y that make both equations true. To solve this problem, we can use either substitution or elimination method. Using the substitution method, we can find the value of y by rearranging the first equation y = (24 - 4x) / 6. We can then substitute this value into the second equation: 3x - 4(24 - 4x) / 6 = 2. Solving for x, we get x = 12 and plugging back this value into our first equation, we get y = -1. Hence, the solution to this system of equations is (12, -1). The other options in this question are incorrect because they do not satisfy both equations. For option B, (5, -6), the first