8x - 3(2x - 4) = 3(x-6)
1 answer:
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Answer:
Step-by-step explanation:
The given system of equations is now reduced:
1) ,
,
,
Given
2) By 1)
3) 2) in 1)
4) By 1)
5) 4) in 3)
6) Algebra
7) Algebra
8) 7) in 4)/Algebra
9) 7) and 8) in 2)/Algebra
10) 9), 1), 7) and 8)/Algebra/Result
Coordinates of point C: (1,-1)
Step-by-step explanation:
In this problem, A, B and C are collinear, and B is between A and C.
The ratio AB : BC is 3 : 1.
This means that we can write the following two equations:
where:
are the coordinates of point A
are the coordinates of point B
are the coordinates of point C
Solving the equation for ,
Solving the equation for ,
So, the coordinates of point C are
Learn more about how to divide segments:
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