Question 664547: I was hoping to get some help on this homework question I am stuck on, thanks!
A triangle is formed by the intersection of the lines 2x + 3y = 14, 4x - 5y = -16, and the x - axis. Find the area of the triangle.
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
A triangle is formed by the intersection of the lines
2x + 3y = 14,
4x - 5y = -16, and
the x - axis.
Find the area of the triangle. 
Question states***
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website! A triangle is formed by the intersection of the lines
 ,
 ,
and the 
Find the area of the triangle.
____________________________________
first graph the lines, using two points ( and  intercepts)
,
set  , find 
 ......... ..=>.. .=>..
one point is: ( ,
set  , find 
 ......... ..=>.. .=>..
one point is: ( ,
same with other line:
set , find
 ......... ..=>.. .=>..
one point is: (, )
set , find
 ......... ..=>..
one point is: ( ,)
graph them:
as you can see from the graph, the length of the base is  units, and the length of the height  units (lines intersect in a point ( , ) ; so, the area of the triangle will be:
|
|
|
