Solve the system of equations. {-x+y=1, 3x-y=5 What is the x-coordinate

Answer: x = 3

Step-by-step explanation:

We are trying to find where these two lines intersect each other.

Now,

-x + y = 1

or, y = x + 1

3x - y = 5

If these two lines intersect, then the value of y coordinate must be the same.

So, substituing y = x + 1 into 3x - y = 5

3x - (x + 1) = 5

3x - x - 1 = 5

2x = 6

x = 3