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.
An equation will have one solution when it represents a line that intersects with another line at a single point, indicating a unique solution. It will have no solution if the lines are parallel, meaning they never intersect. An equation has infinitely many solutions when it represents the same line, where every point on the line is a solution. These scenarios typically apply to linear equations in two variables.
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.
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.
An equation will have one solution when it represents a line that intersects with another line at a single point, indicating a unique solution. It will have no solution if the lines are parallel, meaning they never intersect. An equation has infinitely many solutions when it represents the same line, where every point on the line is a solution. These scenarios typically apply to linear equations in two variables.
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.
No, a linear equation in two variables typically has one unique solution, which represents the intersection point of two lines on a graph. However, if the equation represents the same line (as in infinitely many solutions) or if it is inconsistent (no solutions), then the type of solutions can vary. In general, a single linear equation corresponds to either one solution, no solutions, or infinitely many solutions when considering the same line.
7
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
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.