The equations –a – 7b = 14 and –4a – 14b = 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

To eliminate b, make its coefficients opposites. Multiplying the first equation by −2 gives 2a + 14b = −28. Adding the second equation, −4a − 14b = 28, cancels the b terms and leaves −2a = 0, so choice A is correct.

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