2x+3y-7=0,(a-1)x+(a+1)y=3a-1
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Here are the links for the answer to a similar query:
https://www.meritnation.com/ask-answer/question/determine-the-value-of-a-and-b-for-which-the-following-s/math/9254027
https://www.meritnation.com/ask-answer/question/for-what-values-of-p-and-q-the-following-system-of-equations/pair-of-linear-equations-in-two-variables-ii/4726552
https://www.meritnation.com/ask-answer/question/for-what-value-of-a-and-b-the-following-equations-have-inf/pair-of-linear-equations-in-two-variables/1148381