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 • 1006 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.

Show examples from the web [+]

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.

Show examples from the web [+]

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