5x + 2y = 3 (equation 1)
2x – 3y = 1 (equation 2)
A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?
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these are the 4 options, right?
(if so, then ....)
You know that you must keep the 2nd equation unchanged, and 1 of the options has the second equation typed incorrectly, or another option that doesn't have a second equation in it at all.
These options that lack the correct 2nd equation can be eliminated right away.