Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. then she donates $2 to clean water projects per tax return she files. sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed. sterre returns for free and tax returns for $35 each.

We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.

Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.

Let x be the number of free income tax returns and y be the number of $35 income tax returns.

Therefore, we can set up:

Since she donates $2 for each return that she files, therefore, we can set up:

Therefore,

Sterre filed 414 tax returns for free and filed 207 tax returns for $35

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions