The Graph Method
Example 1
Graph both equations
![System of Linear Equations picture of systems of equations](images/solution-system-linear-equation.png)
On the right, the graph of the two lines
The solution of the system is the point of intersection : (1, 2)
![System of Linear Equations picture of systems of equations](images/solution-system-linear-equation-answer.jpg)
Practice Problems
![System linear equations answer](images/solutions-systems-linear-equations/system-linear-equations-picture.png)
The solution of this system is the point of intersection : (1,3).
![System linear equations answer](images/solutions-systems-linear-equations/system-linear-equations-picture-answer.jpg)
Rewrite each equation in slope intercept form
$$ \text{ A) } 2y = 4x + 2 \\ \frac{1}{2} 2y = \frac{1}{2}(4x+2) \\ y = 2x +1 $$
$$ \text{ B) } 2y = 8x - 2 \\ \frac{1}{2} 2y = \frac{1}{2}( 8x - 2) \\ y = 4x +1 $$
This system of lines is the same system that we looked at in the last example.
Graph each equation to find the point of intersection --which is the solution. (same as earlier problem)
![System linear equations picture](images/solutions-systems-linear-equations/system-linear-equations-picture-answer.jpg)