answersLogoWhite

0


Best Answer

No. Here is a simple example where this is not the case:

x + y = 0

x + y = 1

If you subtract the first equation from the second, you get 0 = 1, which is clearly impossible. Graphically, you get two parallel lines, which never cross.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Every system of equations has at least one solution?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

A system of linear equations that has soluton is?

A system of linear equations that has at least one solution is called consistent.


What is a system of equations that has at least one solution?

a linear equation


Translate this word problem as a system of equations and then solve using substitution?

A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.


When you formulate a system of equations you have at least how many factors?

You don't need ANY factor. To find a unique solution, or a few, you would usually need to have as many equations as you have variables.


Is it true that Every system of inequalities in two variables has at least one solution?

No.


Which of the following is a system of linear equations in two variables?

Simultaneous equations have at least two unknown variables.


When you formulate a system of equations you have at least fact(s) that each need to be summarized as one sentence and then their corresponding equations.?

Two (2)


How many facts need to have when formulating a system of equations?

At least two - otherwise you have just one equation, not a system.


What does it mean to solve a system of linear equations?

Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.


What is the solution of x plus y equals 5?

You have two unknown variables, x and y. You therefore need at least two independent equations to find a solution.


Why the power flow calculation methods are mostly of iterative nature?

Due to non linear nature of the power flow equations, there are at least two solutions to every solvable power flow problem. The trivial one is zero voltage everywhere. There are also multiple solutions possible, for every capacitor bank (in service, out of service), every transformer with load taps. Iterative methods are ideal for solving power flow equations starting with answerer to the equations that are close to a correct solution.


Why is it the graphing method is the least reliable method in solving system of linear equations?

putang ina nyu