To find:The number of solutions of given system of equations using graph and if it has solution, name it.
Answer to Problem 5MCQ
The given system of equations has infinitely many solutions which are dependent.
Explanation of Solution
Given information:
The given system of equations is
Formulaused:
If a system has at least one solution, then it is said to be consistent. If a consistent system of equations has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it isdependent,when graphed such equations, represent the same line.
If a system has no solution, it is said to be inconsistent .The graphs of such equations do not intersect, i.e., graphs are parallel.
Graph:
The graphs of given equations
From the graph of equations we see that the equation
Thus, the given system of equations
We discuss here what the infinitely many solutions are:
See equation
Thus, the solutions of given system of equations is
Conclusion:
The given system of equations
Chapter 6 Solutions
Algebra 1
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