Create functions from the left-hand and right-hand sides of the equation.
No solution
Practice makes perfect
To graph the equation 5x-4=5x+1, we will create two functions out of the left- and right-hand sides of the equation.
f(x)=5x-4 and g(x)=5x+1
The x-coordinate where the graphs of these functions intersect is the solution to our equation.
We can see that the lines are parallel. Therefore, the graphs do not have a point of intersection. We can verify this algebraically by solving the equation.
