Which system of equations is inconsistent? Answer Choices Listed Below
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There is no point of intersection between line u and line v.
Given that
These points on line u and line v.
Line u: (9, –8), (5, 4)
Line v: (4, 2), (7, –7)
We have to determine
How many points of intersection are there between line u and line v?
According to the question
To determine the point of intersection follows all the steps given below.
Line u: (9, –8), (5, 4)
The slope of the line u is,
And the value of c is at point (5, 4) is,
The equation of u is y = -3x + 19.
And
Line v: (4, 2), (7, -7)
The slope of line V is,
And the value of c is at point (4, 2) is,
The equation of u is y = -3x + 14.
The slopes of them are equal and their y-intercepted are not equal.
Line u is parallel to line v.
Hence, there is no point of intersection between line u and line v.
To know more about Slope click the link given below.
If you mean
the decomposition would be of the form
We have
which gives
Or, if you prefer the standard approach, combining the partial fractions on the right side of the equation above would have given
so that
Solve for <em>a</em> and <em>b</em> :