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:





 























 

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