College Math CLEP Prep Practice Exam

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What is the solution of this system of equations? 3x + 6y = 18 and 4x + 8y = 24

x=2, y=1
x=1, y=2
x=2, y=-1
x=1, y=-2

The correct answer is: x=2, y=1

The correct solution for this system of equations is x=2, y=1. In order to find the solution, we need to use elimination or substitution method. For elimination, we will multiply the first equation by -2 and the second equation by 3, this will give us -6x-12y=-36 and 12x+24y=72. After adding the two equations, we will eliminate the x variable and get a new equation 12y=36, which leads to y=3. Then we can plug this value for y in any of the original equations, for example in the first one, and we will get x=2. Therefore, the solution for this system of equations is x=2, y=1. The other options are incorrect because they do not satisfy both equations when substituted. For instance, if we plug in x=1