Solve this system of equations using graphing

y = x + 2
y = - x + 4

1 answer

To solve this system of equations using graphing, we need to graph both equations on the same coordinate plane and find the point where the two lines intersect.

The first equation, y = x + 2, has a y-intercept of 2 and a slope of 1, meaning it will have a positive slope and move upward on the graph.

The second equation, y = -x + 4, has a y-intercept of 4 and a slope of -1, meaning it will have a negative slope and move downward on the graph.

Now, graph both lines on the same coordinate plane.

The point of intersection is (1, 3).

Therefore, the solution to the system of equations is x = 1 and y = 3.