Question

The graph below shows a system of equations: y = -x + 5 and y = x - 1.

The x-coordinate of the solution to the system of equations is __________. Answer for Blank 1:

Answer 1

3

Explanation:

If a graph shows a system of equations: y = -x + 5 and y = x - 1, the x-coordinate of the solution to the system of equations is 3.

y=-x+5

y=x-1

-x+5=x-1

Answer 2

3

Explanation:

I don't see the graph.

So I'm going to do algebra and should be x-coordinate of the intersection you see in front of you.

If y=-x+5 and y=x-1, then -x+5=x-1.

-x+5=x-1

Add x on both sides:

5=2x-1

Add 1 on both sides:

6=2x

Divide 2 on both sides:

6/2=x

Simplify

3=x

You should see them cross when x is 3.

The y there should by 3-1=2.

They should cross at the ordered pair (3,2).