Q. 3
Question
If a system of equations has no solution, it is said to be _______.
Step-by-Step Solution
Verified Answer
If a system of equations has no solution, it is said to be inconsistent.
1Step 1. Given information.
The given statement is:
If a system of equations has no solution, it is said to be _______.
2Step 2. Determine the missing term for the blank.
Inconsistent: A system of equations is inconsistent if it has no solution.
Consistent: A system of equations is consistent if it has at least one solution.
By using the above definitions, it is clear that the required word for the blank is inconsistent.
3Step 3. Conclusion.
If a system of equations has no solution, it is said to be inconsistent.
Other exercises in this chapter
Q. 1
Solve the equation:3x+4=8-x
View solution Q. 2
(a) Graph the line : 3x+4y=12.(b) What is the slope of a line parallel to this line?
View solution Q. 4
If a system of equations has one solution, the system is ________ and the equations are ________.
View solution Q. 5
If the solution to a system of two linear equations containing two unknowns is x=3, y=-2, then the lines intersect at the point _________.
View solution