# How do you solve # y=x-2# and #y=4x+1#?

##### 1 Answer

This is called system of equations because you are searching a pair of numbers that inserted as

To solve a system of equation you have to use one equation to express one variable as a function of the other, and substitute the result in the second equation.

In your case you have

So your

Here I replaced the "value" of

Now you have an equation in one variable that you can solve as usual

With a value for

and, with the second equation

It works! Then our solution is given by