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Answer
There are infinitely many solutions for
and
in the system of equations.
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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
:
-
Isolate
:
-
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
.