Answer:
The first equation can be multiplied by 3 and the second equation by 2.
Step-by-step explanation:
We are given the following system of equations:

To eliminate a variable in the equation, they must cancel out. <em>For instance, if x = 1, in order to cancel out the numbers, you must add -1.</em>
To multiply an equation, you must apply the constant that you are multiplying by to all constants and coefficients of the equation.<em> For example, to multiply 2x + 4y = 8 by 3, you must multiply 2x by 3, 4y by 3, and 8 by 3.</em>
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Therefore, using this information, you can attempt each answer set and test the possibilities.
<u>Answer Choice A</u>
If you multiply the first equation by -3, you will get -6x - 9y = -75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -6 + -6 gives you -12, so these do not cancel out.
<u>Answer Choice B</u>
If you multiply the first equation by -4, you will get -8x - 12y = -100. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -8 + -6 gives you -14, so these do not cancel out.
<u>Answer Choice C</u>
If you multiply the first equation by 3, you will get 6x + 9y = 75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding 6 + -6 gives you 0, so these do cancel out.
<u>Answer Choice D</u>
If you multiply the first equation by 4, you will get 8x + 12y = 100. If you multiply the second equation by -3, you will get 9x - 12y = -66. Adding 8 + -9 gives you -1, so these do not cancel out.