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Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations Graphically 1.6 - Solution

arrow_back Return to Solving Systems of Linear Equations Graphically
a
To write the system of equations represented in the graph, we need to find the equations of the lines. Therefore, let's identify their slopes and -intercepts.


The slopes of the lines are and the -intercepts are and We can now write the system of equations by substituting the values into the slope-intercept form.

b

The solution to this system of linear equations is the -value and -value value where the graphs intersect.

The solution is

c
What does this actually mean? Well, it means that if we substitute and into both equations in the system of equations, both equalities should hold true. Let's do this!
The solution is correct. In this particular case, you got in both equations, however, that does not have to be the case. There could be two or more different solutions, what's important is that all of them are true.