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.
(1 point)
The solution to the system of equations y=x-6 and y=-x+4 is the point where the graphs of the two equations intersect.
To find the solution, we first set the two equations equal to each other:
x-6 = -x+4
2x = 10
x = 5
Now that we have the value of x, we can plug it back into either equation to find the value of y.
Using y=x-6:
y = 5-6
y = -1
Therefore, the solution to the system of equations is (5, -1). This is the point where the graphs of y=x-6 and y=-x+4 intersect.