Start chapters home Start History history History expand_more
{{ item.displayTitle }}
No history yet!
Progress & Statistics equalizer Progress expand_more
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
No results
{{ searchError }}
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ }} {{ }}
search Use offline Tools apps
Login account_circle menu_open

Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations Graphically 1.11 - Solution

arrow_back Return to Solving Systems of Linear Equations Graphically
Let's solve the equation by isolating on one of the sides. But before we do that, it's convenient to multiply both sides with to get rid of the fraction.
The solution of this equation is

Let's solve the system of equations by graphing. Thus, we must identify each line's key features.


Now, we can graph the equations.

We can see that the graphs intersect at the point This is the solution of the system of the equations.


The equation in part A is The system of equations from part B is The first function in the system corresponds to the left-hand side in the equation.

In part A we got a value of as the answer and in part B we got a point, - and -coordinates.

As discussed in part C, the left- and right-hand side of the equation in part A represented the functions in part B. Therefore, the -value is the same in the two answers. However, in part B we got a value of as well. This is because the equations are separated in part B but not in part A.