Based on the bisection of line BC by point A, the value of x is 10/3
<h3>How to determine the value of x?</h3>
The given parameters are:
- Point A bisects BC
- BA = 6x - 3
- AC= 3x + 7
Because the point A bisects BC, then
BA = AC
Substitute the known values in the above equation
So, we have
6x - 3 = 3x + 7
Collect the like terms
6x - 3x = 3 + 7
Evaluate the like terms
3x = 10
Divide both sides of the equation by 3
x = 10/3
Hence, based on the bisection of line BC by point A, the value of x is 10/3
Read more about bisectors at:
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-- 100% of the original number is ALL of it.
-- If it's increased by that amount, it becomes DOUBLE
(twice as much as) what it was originally.
Because all are a multiple of 2, you can factor out 2, 2(-x^2+x+2)=0