Question

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

Answer 1

Answer: x = 3

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