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How would you choose to reduce the system shown to a 2 × 2? Explain why you would choose this approach. –3x y – 2z = 10 (1) 5x – 2y – 2z = 12 (2) x – y z = 23 (3)

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savannabaker1

Answer:

Eliminate y by adding equations (1) and (3) because the coefficients on y are opposites. Then eliminate y by multiplying equation (1) by 2 and adding it to equation (2). Eliminate z by subtracting equations (1) and (2) because the coefficients are the same. Then eliminate z by multiplying equation (3) by 2 and adding it to equation (1).  

Explanation:

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