Graphing systems

Question

graph the system below and write its solution: 

 

y=-1/3x -3

2x + y=2

 

what would be the coordinates of each? (Four total, two sets for each equation)

Answer 1

 

The "system" is equations of two lines.  One is given in slope-intercept form and the other is given in Standard Form.

 
Two points determine a line.  You can graph (that is, draw) a line using two points.  Just connect them and keep on going in each direction.
 
The line y=-(1/3)x-3 has points:
     (0,-3)
     (-1,0)
   [note: find easy ones]
 
The line 2x + y= 2  has points:
     (0,2)
     (1,0)
 
Now, the "solution" (if they intersect) is the point(s) that is/are on both lines.  When you graph the lines, you will determine the coordinates of this point.

 

You may find the "solution" either by graphing or algebraically [and use one method to check the other].  The point (3,-4) is the "solution" to the system.