Question

The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

x + 3y = 42
2x − y = 14

A.
Multiply the second equation by -3. The solution is x = 12, y = 9.
B.
Multiply the second equation by -2. The solution is x = 12, y = 10.
C.
Multiply the second equation by 2. The solution is x = 15, y = 9.
D.
Multiply the second equation by 3. The solution is x = 12, y = 10.

Answer 1

>> Answer

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Answer in the picture.

Answer 2

9514 1404 393

Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10.

Explanation:

In order to cancel the +3y term in the first equation, the second equation's y-term (-y) must be multiplied by a value that makes it be -3y. The second equation must be multiplied by 3.

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That answer choice also has the correct values for the solutions to x and y.