How to solve systems of equations by Graphing
Step by step tutorial for systems of linear equations (in 2 variables)
Video on Solving by Graphing
Example 1
What is the solution of the following system of equations?
$$
y = x + 1
\\
y = 2x
$$
Step 1) Graph both equations

On the left, the graph of the two lines.

Practice Problems
Use the graph method to solve the system of equations below
$
y = 2x +1
\\
y = 4x 1
$

Step 1 is to Graph both equations
The solution of this system is the point of intersection : (1,3).

Solve the following system of linear equations by graphing.
$
\text{ A) } 2y = 4x + 2
\\
\text{ B) }2y = x + 7
$
Step 1) 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.
Step 2 Graph each equation to find the point of intersection which is the solution. (same as earlier problem)
