Question 152426
<pre><font size = 4 color="indigo"><b>
solve the equation graghically 
3x+4=x-6 
thank you for helping me.


Let y = the left side

    y = 3x+4

Let y = the right side

    y = x-6

So this gives us two equations to graph.

So we graph them:

{{{graph(400,400,-10,10,-14,6,3x+4,x-6)}}} 

Now to find the value of x, we draw a line
straight up to the x-axis, and see where it
hits the x-axis:

{{{ drawing(400,400,-10,10,-14,6, graph(400,400,-10,10,-14,6,3x+4,x-6),
line(-5,0,-5,-11) )}}}

It hits the x-axis at x=-5. So that's the answer.

To do it on a TI-83 or TI-84

Press Y=
After \Y1=  type 3X+4
After \Y2=  type X-6
Press Zoom
Press 0   (See graph)
Press 2nd TRACE
Press 5
Press ENTER 
Press ENTER
Press ENTER

See at bottom of graph:

Intersection
X=-5                Y=-11

So the answer is x=-5

Edwin</pre>