What is the solution to the system y = -4 x+2 and y = x-3

To answer this question one can do either one of two methods one of which is elimination, or substitution:

Step-by-step explanation:

One these methods is two fold and that is one can be done with linear algebra which can represent the system of equations using a augmented matrix.

Now we can setup the Gauss-elimination using row echelon form:

The first thing we are gonna do is perform the indicated row operation

Which gives you the following:

Now we must perform another row operation

Next row operation is the following:

Which produces the following matrix

Then chain in these two row operations and you get the following:

Which produces this matrix:

Which means the ordered pair is the following:

is the solution

For the 2017-2018 school year, the average costs for one year of education is:

Tuition/Fees:   $4,391

Living Costs:   $10,406

Books/Supplies:  $1,724

Transportation:  $2,313

Other Expenses:  $3,025

With the given 7% inflation rate, the average cost will increase for the next session (2018-2019).

Hence, for year 2017-2018 the total expense will be sum of all the given costs.

= $4,391 + $10,406 + $1,724 + $2,313 + $3,025

= $21,859