(y=x-6),(y=-x+4) 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.
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 the value of x, we can substitute it back into either of the original equations to find the value of y.
Using the first equation:
y = x - 6
y = 5 - 6
y = -1
So the solution to both equations is x = 5 and y = -1.