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Solve for and

Ask by Craig Love. in the United States
Jan 24,2025

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Answer

There are infinitely many solutions for and in the system of equations.

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Mind Expander

To solve the system of equations
we can manipulate the second equation by multiplying it by 6 to match the coefficients of in the first equation:

Which gives us:
Since both equations are identical, we can see that they represent the same line, meaning there are infinitely many solutions along the line defined by these equations.
To express in terms of , we can manipulate the second equation:
Starting from :
  1. Isolate :
  2. Divide by 7:
Thus, can be expressed in terms of , providing a continuous set of solutions. You can substitute any value for to find corresponding values of .

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