College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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

(12, -1)
(5, -6)
(-4, 6)
(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