College Math CLEP Prep Practice Exam

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How many unique solutions are there to the system of equations x + 2y = 3 and 2x + 4y = 6?

One
Two
Three
No solutions

The correct answer is: One

There is only one unique solution to the given system of equations. This is because the two equations are essentially the same, just with different numbers. By dividing the second equation by 2, we can rewrite it as x + 2y = 3, which is identical to the first equation. Therefore, the equations are equivalent and have the same solution. The other options are incorrect because B and C would suggest that there are multiple solutions which is not the case, and D would suggest that there is no possible solution which is also not true since the equations are equivalent.