identity the wrong statement with respect to a pair of linear equations
a) if lines are parallel there is no solution
b) if the lines are perpendicular to each other, there is no solution
c) many solutions if the lines are coincide each other
d) a unique solution if they interest
Answers
Step-by-step explanation:
Recall that a linear equation graphs as a line, which indicates that all of the points on the line are solutions to that linear equation. There are an infinite number of solutions. If you have a system of linear equations, the solution for the system is the value that makes all of the equations true. For two variables and two equations, this is the point where the two graphs intersect. The coordinates of this point will be the solution for the two variables in the two equations.
Systems of Equations
The solution for a system of equations is the value or values that are true for all equations in the system. The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations.
One Solution
No Solutions
Infinite Solutions
If the graphs of the equations intersect, then there is one solution that is true for both equations.
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Recall that a linear equation graphs as a line, which indicates that all of the points on the line are solutions to that linear equation. There are an infinite number of solutions. If you have a system of linear equations, the solution for the system is the value that makes all of the equations true. For two variables and two equations, this is the point where the two graphs intersect. The coordinates of this point will be the solution for the two variables in the two equations.
Systems of Equations
The solution for a system of equations is the value or values that are true for all equations in the system. The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations.
One Solution
No Solutions
Infinite Solutions
If the graphs of the equations intersect, then there is one solution that is true for both equations.
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.