To find: The number of solutions of given system of equations using graph and if it has one solution, name it.
Answer to Problem 11SGR
The given system of equations has only one solution
Explanation of Solution
Given information:
The given system of equations is
Concept used:
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 is dependent, 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 graph of given equations
From the graph of equations we see that the lines intersect at a point
Thus, the given system of equations has one solution
Conclusion:
The given system of equations has only one solution
Chapter 6 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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