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