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came up with a solution where vs came up with a solution by which

Both phrases are correct, but they are used in slightly different contexts. 'Came up with a solution where' is used when referring to a specific situation or scenario, while 'came up with a solution by which' is used when explaining the method or process through which a solution was reached.

Last updated: March 25, 2024 • 997 views

This phrase is correct and commonly used when referring to a specific situation or scenario where a solution was devised.

"came up with a solution where"

This phrase is used to indicate the context or setting in which a solution was created or developed.

Examples:

  • We came up with a solution where everyone could contribute their ideas.
  • She came up with a solution where the team could work more efficiently.
  • And like 2 rational people, We came up with a solution.
  • I came up with a solution to this problem, and I came up with a solution based on adaptive optics for this.
  • You know, I've been thinking a lot about this restaurant problem we're having, and I think I came up with a solution.
  • Look, it's obvious having kids is really important to you, and I think I came up with a solution.
  • Mr Jarzembowski said, in the end he came up with a solution that was nearly unanimously accepted by the Parliament.
  • So he came up with a solution so simple... he wondered why he'd never told anyone it before.
  • Michael realized what he had done to his son... so he came up with a solution.
  • And then out of the blue, Bree came up with a solution.
  • Watching his boxing gloves, which reminding him off his youth and championship titles... detective Cockney Cole came up with a solution!
  • I thought maybe if I came up with a solution to nemesis, Then Henry would write me a recommendation letter Like he did for you, and then we could go together.
  • And I couldn't handle it. I thought maybe if I came up with a solution to nemesis, then Henry would write me a recommendation letter
  • [Narrator] Michael realized he had done to his son what his father had done to him... so he came up with a solution.
  • You came up with the solution on your own.
  • Eventually, though, I came up with an ingenious solution.
  • I think I came up with a temporary solution.
  • So we came up with a great solution: train grandmothers.
  • We predicted these floods six months ago and came up with the solution.
  • Mary, since you're being so hesitant over this marriage, they came up with this solution.
  • Manlius came up with the wrong solution?
  • So... We came up with a radical solution...

Alternatives:

  • came up with a solution in which
  • came up with a solution that
  • came up with a solution for which
  • came up with a solution to which

This phrase is correct and is used when explaining the method or process through which a solution was reached.

"came up with a solution by which"

This phrase is used to describe the means or mechanism through which a solution was arrived at.

Examples:

  • They came up with a solution by which the problem could be solved.
  • He came up with a solution by which the team could increase productivity.
  • And like 2 rational people, We came up with a solution.
  • I came up with a solution to this problem, and I came up with a solution based on adaptive optics for this.
  • You know, I've been thinking a lot about this restaurant problem we're having, and I think I came up with a solution.
  • Look, it's obvious having kids is really important to you, and I think I came up with a solution.
  • Mr Jarzembowski said, in the end he came up with a solution that was nearly unanimously accepted by the Parliament.
  • So he came up with a solution so simple... he wondered why he'd never told anyone it before.
  • Michael realized what he had done to his son... so he came up with a solution.
  • And then out of the blue, Bree came up with a solution.
  • Watching his boxing gloves, which reminding him off his youth and championship titles... detective Cockney Cole came up with a solution!
  • I thought maybe if I came up with a solution to nemesis, Then Henry would write me a recommendation letter Like he did for you, and then we could go together.
  • And I couldn't handle it. I thought maybe if I came up with a solution to nemesis, then Henry would write me a recommendation letter
  • [Narrator] Michael realized he had done to his son what his father had done to him... so he came up with a solution.
  • You came up with the solution on your own.
  • Eventually, though, I came up with an ingenious solution.
  • I think I came up with a temporary solution.
  • So we came up with a great solution: train grandmothers.
  • We predicted these floods six months ago and came up with the solution.
  • Mary, since you're being so hesitant over this marriage, they came up with this solution.
  • Manlius came up with the wrong solution?
  • So... We came up with a radical solution...

Alternatives:

  • came up with a solution through which
  • came up with a solution whereby
  • came up with a solution using which
  • came up with a solution via which

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