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

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

asked Feb 7, 2015 in ALGEBRA 2 by anonymous

2 Answers

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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 image
0 6 (0,6)
2 4 (2,4)

 

answered Feb 9, 2015 by yamin_math Mentor
0 votes

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.

image

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

x

image

(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).

answered Feb 9, 2015 by yamin_math Mentor

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