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This is a system of equations, and I am assuming that you are being asked to solve it.
This is finding the point where these two lines intersect.
The key to solving these algebraically is finding one part in terms of another part and substituting.
We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.
We have
and
.
The last equation is rewritten as
.
Now, we cancel the x-terms.
We have our value for y, so we just plug this back into any of the original equations to get x.
Thus, the solution to the system of equations is the point
.
This is finding the point where these two lines intersect.
The key to solving these algebraically is finding one part in terms of another part and substituting.
We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.
We have
and
The last equation is rewritten as
Now, we cancel the x-terms.
We have our value for y, so we just plug this back into any of the original equations to get x.
Thus, the solution to the system of equations is the point
The mid point of the given Coordinates U= (-5,1) and point V = (7,9):
= ( -6 , 5).
Midpoint of a Line Segment:
A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁ , Y₁ and X₂, Y₂ is calculated using:
<h3>According to the given data:</h3>Point U has Coordinates (-5,1).
point V has coordinates (7,9).
Find coordinates of the midpoint of UV = ?
We know that to find Midpoint of a Line Segment:
=
Where U
X₁ = -5
Y₁ = 1
Whare V
X₂ = 7
Y₂ = 9
Putting the value in the formula:
UV =
= (-5 + 7)/2 , (1 + 9)/2
= -6 , 5
The mid point of the given Coordinates U= (-5,1) and point V = (7,9):
= ( -6 , 5).
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