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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
a
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
b

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

Feature
Slope
-intercept

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.

c

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.

d
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.