Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a true statement. how should this be interpreted?
a.
the system of equations is unsolvable.
b.
the system of equations has no solution.
c.
the system of equations has infinitely many solutions.
d.
the system of equations has been solved incorrectly.

C.  The system of equations has infinitely many solutions.

Step-by-step explanation:

When solving a system of two variables and both are canceled, only constants or zeros remain. Either way, this is a true statement.

As a result, we can conclude that this system has infinite solutions. The lines are coincident and the systems are consistent and dependent.

Since the result is an equation that will always be true but without variables, the system has infinite solutions.

Hope this helps!

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have