Infinitely many. Assuming the variables are "x" and "y" , for every value of "x" a value for "y" can be calculated.
One
by when you cancelled the variables and the two numbers left are equal. ex.5=5, is a many solution equation, in the other hand if is like this 6=5, is a no solution.
A linear equation in two variables represents a straight line on a Cartesian plane. Each point on this line corresponds to a unique pair of values for the two variables that satisfy the equation. Since there are infinitely many points on a line, there are also infinitely many solutions to the equation. Thus, any linear equation in two variables has an infinite number of solutions.
You cannot "solve" a single linear equation with two variables. Alternatively, you could argue that any one of the infinitely many points on the line represented by that equation is a solution.
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
One
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
by when you cancelled the variables and the two numbers left are equal. ex.5=5, is a many solution equation, in the other hand if is like this 6=5, is a no solution.
A linear equation in two variables represents a straight line on a Cartesian plane. Each point on this line corresponds to a unique pair of values for the two variables that satisfy the equation. Since there are infinitely many points on a line, there are also infinitely many solutions to the equation. Thus, any linear equation in two variables has an infinite number of solutions.
You cannot "solve" a single linear equation with two variables. Alternatively, you could argue that any one of the infinitely many points on the line represented by that equation is a solution.
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
7
Since there is only one linear equation in two unknown variables, it cannot be solved further. The coordinates of any of the infinitely many points on the line given by the equation: y = x - 7 are a solution.
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
A linear equation in n variables, x1, x2, ..., xn is an equation of the forma1x1 + a2x2 + ... + anxn = y where the ai are constants.A system of linear equations is a set of m linear equations in n unknown variables. There need not be any relationship between m and n. The system may have none, one or many solutions.
Put the coefficients of the variables into a 3x3 matrix, and take the determinant of the matrix. If the determinant is not zero, then there is one solution. If the determinant is zero, then there are infinite solutions or there is no solution. Think of a system of 2 variables, for simplicity. You have 2 equations and 2 variables (x & y). Each equation can be graphed as a straight line, hence the name 'linear system'. If the 2 lines are not parallel, then there will be only one point where they intersect, which is the one solution to the linear system. If they are parallel, then there is no solution(they never intersect), and if the two lines coincide, then infinite solutions(they intersect at every point). In both of the latter cases, the related matrix will have a determinant of zero.