Question

Solve the system of equations by graphing x+y=6, y-x=6?

Answer 1

Step 1:

The line equations are and .

Graph the line equations for different values of x.

Write the equations in slope-intercept form , where m is slope and b is y-intercept.

First equation .

Subtract x from each side.

The domain is all real numbers .Select values from the domain and construct a table for .

x		(x,y)
	8
0	6	(0,6)
2	4	(2,4)

 

Answer 2

Contd......

Step 2:

The line equations is .

Graph the line equations for different values of x.

Write the equations in slope-intercept form , where m is slope and b is y-intercept.

Second equation .

Add x from each side.

The domain is all real numbers .Select values from the domain and construct a table for .

x		(x,y)
	4
0	6	(0,6)
2	8	(2,8)

 Graph:

1) Draw the coordinate plane.

2) Plot the points of two lines.

3) Connect the plotted points.

4) Locate the point of intersection of 2 lines.

Graphically the point of intersection is (0,6).

Solution :

The point of intersection is (0,6).