Online College Courses for Credit

Solving Equations Graphically

Solving Equations Graphically

Author: mary daunis
See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

29 Sophia partners guarantee credit transfer.

312 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Solving Linear Equations Graphically

To appreciate the process of solving equations graphically, we now solve the equation
x − 4 = 5x +12 graphically. This is easy enough to solve algebraically, but for purposes of
illustration, we will use the graphical solution process. Think of the LHS as one graph and the RHS as a second graph. The two graphs are lines. The solution will be the x-coordinate of the intersection point of the two lines. Using the TI, enter the equations y1 = x − 4 and y2 = 5x +12 into the editor. Then, graph. You may need to resize your window. Once you have the solution, verify it by substituting into the original equation x − 4 = 5x +12 .

Graphical Solution to an Equation

When entering functions into the TI equation editor as Y= be very careful about using grouping symbols properly - remember, the calculator follows the algebraic rules for order of operations -

Two Intersecting Lines

Solve graphically:

x -5 = 5x + 3