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Please help........................

Please help........................-example-1

1 Answer

3 votes

Answer:

x = 7

Explanation:


\text{If}\ \overrightarrow{BD}\ \text{is the angle bisector of}\ \angle ABC,\ \text{then we have two equations:}\\\\(1)\qquad2x+y=14+y\\(2)\qquad5x-y=x+13y\\------------------\\\\(1)\\2x+y=14+y\qquad\text{subtract}\ y\ \text{from both sides}\\2x=14\qquad\text{divide both sides by 2}\\\boxed{x=7}\\\\\text{Put the value of x to (2):}\\\\5(7)-y=7+13y\\35-y=7+13y\qquad\text{subtract 35 from both sides}\\-y=-28+13y\qquad\text{subtract 13y from both sides}\\-14y=-28\qquad\text{divide both sides by (-14)}\\\boxed{y=2}

User Ash Wilson
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