B. When do you get an answer to a system of linear equations that has one solution, no solution and infinitely many solutions?
1 answer:
Answer:
a. One solution: when the lines intersect each other.
b. No solution: when the lines are parallel.
c. Infinitely many solutions: when they are exactly the same line.
Step-by-step explanation:
For this exercise it is important to remember that the equation of a line in Slope-Intercept form is the following:
Where "m" is the slope of the line and "b" is the y-intercept.
You can graph the linear equations in order to visualized if the System of Linear equations has one solution, no solutions or infinetely many solutions.
By definition, given a System of linear equations, you can get the following solutions when:
a. One solution when the lines given in the system intersect each other. The point of intersection will be the solution of the System of equations.
b. No solution when the lines given in the System of equations are parallel (You need to remember that the slopes of parallel lines are equal).
c. Infinitely many solutions when they are exactly the same line. This means that the slopes and the y-intercepts are equal.
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