How to solve systems of linear equations by graphing , examples, pictures, practice. The first step is to graph both equations and then you...

What is the solution of the following system of equations?

$$ y = x + 1 \\ y = 2x $$

Step 1

Graph both equations

Step 2

On the right, the graph of the two lines

The solution of the system is the point of intersection : (1, 2)

Use the graph method to solve the system of equations below

$$ y = 2x +1 \\ y = 4x -1 $$

Step 1

Step 2

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

$$ \text{ A) } 2y = 4x + 2 \\ \frac{1}{2} 2y = \frac{1}{2}(4x+2) \\ y = 2x +1 $$

$$ \text{ B) } 2y = 8x - 2 \\ \frac{1}{2} 2y = \frac{1}{2}( 8x - 2) \\ y = 4x +1 $$

Step 2

Graph each equation to find the point of intersection --which is the solution. (same as earlier problem)

How to solve systems of equations by Graphing