Create functions from the left-hand and right-hand sides of the equation.
x=3
Practice makes perfect
To graph the equation 5x-7=2(x+1), we will create two functions out of the left- and right-hand sides of the equation.
f(x)=5x-7 and g(x)=2(x+1)
The x-coordinate where the graphs of these functions intersect is the solution to our equation. Since one of the given equations is not in slope-intercept form, let's rewrite it so that it will be easier to identify its slope and y-intercept.
To check this solution, we will substitute it back into the given equation and simplify. If doing so results in a true statement, our solution is correct.
