How to solve systems of equations by Graphing

What is the solution of the following system of equations?

Graph both equations

Step 1 answer -->

picture of systems of equations

On the right, the graph of the two lines

Step 2 answer -->

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

picture of systems of equations

Practice Problems

Practice 1

Use the graph method to solve the system of equations below

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

Step 1 answer

System linear equations answer

Step 2 answer Step 1 is to Graph both equations

The solution of this system is the point of intersection : (1,3).

System linear equations answer

Practice 2

Solve the following system of linear equations by graphing.

$$ \text < A) >2y = 4x + 2 \\ \text< B) >2y = -x + 7 $$

Rewrite each equation in slope intercept form

Step 1 answer

$$ \text < A) >2y = 4x + 2 \\ \frac 2y = \frac(4x+2) \\ y = 2x +1 $$

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

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