Systems of equations can have just about any number of solutions: zero, one, two, etc., or even infinitely many solutions.
One solution
Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.
A single point, at which the lines intercept.
Which of the following best describes the solution to the system of equations below?3x + 6y = 10 9x + 18y = 30
It would help very much if the "following equations" actually DID follow!
They are called equivalent systems.
Systems of equations can have just about any number of solutions: zero, one, two, etc., or even infinitely many solutions.
One solution
A single equation is several unknowns will rarely have a unique solution. A system of n equations in n unknown variables may have a unique solution.
Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.
A single point, at which the lines intercept.
It is a correct statement.
Which of the following best describes the solution to the system of equations below?3x + 6y = 10 9x + 18y = 30
You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.
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.
there is no linear equations that has no solution every problem has a solution