review the graphs of a system of two linear equations in two variables: y=x-6 and y= -x+4 find the solution to both equations
The graphs of the two linear equations y=x-6 and y=-x+4 can be plotted on a graph to determine their solutions.
To find the solution to both equations, we can set them equal to each other and solve for x:
x-6 = -x+4
2x = 10
x = 5
Now that we have found x, we can plug it back into either of the original equations to find y:
y = 5 - 6
y = -1
Therefore, the solution to both equations is x=5 and y=-1. This point represents the intersection of the two lines on the graph, where they meet at the coordinates (5,-1).