To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?First equation: 4x − 3y = 34Second equation: 3x + 2y = 17
Answer
A
The first equation should be multiplied by 2 and the second equation by 3.
B
The first equation should be multiplied by 2 and the second equation by −3.
C
The first equation should be multiplied by 3 and the second equation by 4.
D
The first equation should be multiplied by 3 and the second equation by −4.
Explanation
The y-coefficients are −3 and 2. Multiplying the first equation by 2 makes its y-term −6y, and multiplying the second equation by 3 makes its y-term 6y. Adding the equations cancels the y-terms immediately, so the correct choice is A: multiply the first equation by 2 and the second by 3.
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