True or false:
If the system of equations contains at least one solution then it is called as consistent.
Answer to Problem 1SGR
True. If systems have at least one set of solution, it is called as consistent system.
Explanation of Solution
Given information:
The given statement is:
‘If the system of equations contains at least one solution then it is called as consistent.’
A system of two linear equations can have the following three solution conditions:
- One solution
- An infinite number of solutions
- No solution.
That’s why the systems of equations are classified by the set of solutions to satisfy the equations.
If the system of two equations contains at least one solution it is said to be consistent. Hence, the given statement is true.
Chapter 6 Solutions
Algebra 1
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