0
When using elimination to solve a system of equations how would you recognize it has no solution?
Wiki User
∙ 15y ago
If in the course of your elimination you come across a clearly untrue statement such as 0 = 2, it indicates that there is no solution.
For example, let's pick a simple system.
x = 9
x = 0
If we use elimination by multiplying the bottom equation by -1 to eliminate the x's then add the two equations together, we will end up with
0 = 9 which is clearly an untrue statement. Therefore the two equations (actually parallel lines) have no solution.
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
Solving the system of equations by graphing?
Graph both equations on the same graph. Where they intersect is the solution to the system of equations
How did the system of equations develop?
The system of equations developed from the early days with ancient China playing a foundational role. The Gaussian elimination was initiated as early as 200 BC for purposes of solving linear equations.
The ELIMINATION method performs operations on a system of equations to?
Simultaneous equations can be solved using the elimination method.
When solving a system of equations by elimination you find what?
You find a solution set. Depending on whether the equations are linear or otherwise, consistent or not, the solution set may consist of none, one, several or infinitely many possible solutions to the system.
How can graphs be used to estimate the solution for a system of linear equations?
Graphs can be used in the following way to estimate the solution of a system of liner equations. After you graph however many equations you have, the point of intersection will be your solution. However, reading the exact solution on a graph may be tricky, so that's why other methods (substitution and elimination) are preferred.
Elimination gives the solution to the system of equations when each row has nothing but zeros and a single 1 to the left of the thin line?
False
Solve the system using elimination 3x -9y equals 3?
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
Can you solve the system using elimination 3x plus 9y equals 3?
No. Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
A system of equations with exactly one solution?
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
