Sunil231:
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown. 8x + 7y = 39 4x – 14y = –68 Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown. 8x + 7y = 39 4x – 14y = –68
Mercury:
step 1 would be to solve the original system, as is (please let me know if you need help with this) step 2: as the problem suggests, take one of the equations (let's just use 8x + 7y = 39), multiply the other equation by some constant (for example, take 4x – 14y = –68 and multiply it by 2), then add the two equations together. take this new equation, and use it to replace one of the original equations. then solve the system again. if your math is correct, you should get the original answer from step 1
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