College Algebra CLEP Prep Practice Exam

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What is the solution of 3y2 - 5xy + 2x2 = 0

y = 0
y = -2/3x
y = 2/3x
No solution

The correct answer is: y = 2/3x

In this equation, we are trying to find the value of y that makes the equation true. To solve this, we can factor the equation into (3y - 2x)(y - x) = 0. This means that either 3y - 2x = 0 or y - x = 0. If we solve for y in these equations, we get y = 2/3x or y = x. However, since y cannot equal x in this case, the only solution is y = 2/3x. This is why option C is the correct answer. Option A is incorrect because if y = 0, the entire equation would be equal to 0, not just one part of it. Option B is incorrect because if y = -2/3x, the equation would be -2x + 10/3x +