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Triangle ABC is equilateral and AB=4x-y, BC=2x+3y, and AC=7. Find x & y.

 May 16, 2016

Best Answer 

 #1
avatar+37146 
+10

It's an EQUALateral triangle , so by definition all of the sides are the same length...

So:

4x-y=7        solve for y= 4x-7

2x+3y=7   Substitute y= 4x-7 in here

2x + 3(4x-7)= 7

14x = 28    x= 2   so y = 1  

 May 16, 2016
 #1
avatar+37146 
+10
Best Answer

It's an EQUALateral triangle , so by definition all of the sides are the same length...

So:

4x-y=7        solve for y= 4x-7

2x+3y=7   Substitute y= 4x-7 in here

2x + 3(4x-7)= 7

14x = 28    x= 2   so y = 1  

ElectricPavlov May 16, 2016

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