All the lines meet at one point: a single solution.
All the lines are the same: infinitely many solutions.
At least one of the lines does not pass through the point of intersection of the others: no solution.
The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
There is only one type of solution if there are two linear equations. and that is the point of intersection listed in (x,y) form.
There are several methods to solve linear equations, including the substitution method, elimination method, and graphical method. Additionally, matrix methods such as Gaussian elimination and using inverse matrices can also be employed for solving systems of linear equations. Each method has its own advantages depending on the complexity of the equations and the number of variables involved.
usually bank accountants ..... they use it to find out things like interest ans S.P , C.P etc..
The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.
The three types arethe system has a unique solutionthe system has no solutionsthe system has infinitely many solutions.
Algebraic equations, trigenometric equations, linear equations, geometric equations, partial differential equations, differential equations, integrals to name a few.
The answer depends on whether they are linear, non-linear, differential or other types of equations.
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
Generally, both types of equation contain an equals sign and some combination of numbers and/or variables. That is the only thing I can think of that is common between all types of nonlinear and linear equations.
There is only one type of solution if there are two linear equations. and that is the point of intersection listed in (x,y) form.
Linear equations or inequalities describe points x y that lie on a circle.
The three types of population settlements are Linear, Scattere and Clustered.
If the equations are linear, they may have no common solutions, one common solutions, or infinitely many solutions. Graphically, in the simplest case you have two straight lines; these can be parallel, intersect in a same point, or actually be the same line. If the equations are non-linear, they may have any amount of solutions. For example, two different intersecting ellipses may intersect in up to four points.
Linear, ratio, and vertical
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.