Why does Elizabeth lie to Danforth about her husband's relationship with Abigail? What motivates her actions?

She lied to save her husband's good name because she loves him.Because She Didnt Want Him to Get In Any Trouble And Have His Name Shame Put Out For Everyone to see.Elizabeth still loves her husband and wants to protect him. She, in part, blames herself for the affair. She also wants Proctor to admit his own sin rather than she condemning him.

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when alex falls for the charming new boy at school, cole -- a handsome, funny, sports star who adores her - she can't believe she's finally found her soul who truly loves and understands her.  

at first, alex is blissfully happy. sure, cole seems a little jealous of her relationship with her close friend zack, but what guy would want his girlfriend spending all her time with another boy? as the months pass, though, alex can no longer ignore cole's small put-downs, pinches, or increasingly violent threats.  

as alex struggles to come to terms with the sweet boyfriend she fell in love with and the boyfriend whose "love" she no longer recognizes, she is forced to choose -- between her "true love" and herself.

explanation:

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