A consistent system of equations has at least one solution.
A consistent system is considered to be an independent system if it has a single solution, such as the example we just explored. The two lines have different slopes and intersect at one point in the plane.
A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system. Thus, there are an infinite number of solutions.
Another type of system of linear equations is an inconsistent system, which is one in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no points common to both lines; hence, there is no solution to the system.
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Answer:
The solutions listed from the smallest to the greatest are:
x:
y: -1 1 -1 1
Step-by-step explanation:
The slope of the tangent line at a point of the curve is:
The tangent line is horizontal when . Then:
, for all
, for all
The first four solutions are:
x:
y: 1 -1 1 -1
The solutions listed from the smallest to the greatest are:
x:
y: -1 1 -1 1
Answer:
zero slope
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
4x + 6 = 102
-6. -6
4x= 96
x=24