Question

What is the solution to the system of equations graphed below?y=-x+3 y=x-3

Answer 1

Answer:
(3,0)

How?
Well, I choose to graph to find my answer. So, when put into a graphing calculator, you get the graph that I pictured. The point of intersection is the solution. As shown, that point is (3,0)

Answer 2

x=3

y=0

Explanation:

y=-x+3

y=x-3

We can add these two equations together to eliminate x

y=-x+3

y=x-3

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2y = 0

Divide by 2

y=0

Now we need to find x

y =x-3

0 =x-3

Add 3 to each side

3 = x-3+3

3 =x