How do you solve 14= - 6x + 3214=6x+32 by graphing?

1 Answer
Apr 26, 2018

Graph the function y=-6x+32y=6x+32, and graph the function y=14y=14. I got an intersection at (3,14)(3,14). The xx value (3)(3) is your solution.

Explanation:

This technique works with any equation of any degree (the largest exponent on the variable). For any polynomial equation (like x^2-2x-1x22x1, equal to zero, your solutions are your x-intercepts. Quite frankly, it doesn't matter what complexity your equation is. Just graph the left side and the right side, and wherever they intersect, the x-coordinate is the solution.

So to summarize: graph the left side and the right side of the equation as a function of yy, and the places where they intersect are your solutions.