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How many solutions does linear equation in two variable have?
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.
Is it possible for a system of two linear inequalities to have no solution?
Sure. Visualize the graphs of two half-planes, each representing a linear inequality. Those can overlap, or they might not overlap. For example:x > 2, andx < 0But a similar example can be made with two variables, as well.x + y > 3x + y < 2If you graph it, you will get two half-planes that don't touch.If you look at the equations, for any combination of values for x and y, the result can't be both more than 3 and less than 2, so there is not a single solution.
When solving systems of linear equations what does the solution represent?
A single point, at which the lines intercept.
When the equation in a linear system have different slopes then the system has what kind of solution?
It is not possible to tell. The lines could intersect, in pairs, at several different points giving no solution. A much less likely outcome is that they all intersect at a single point: the unique solution to the system.
On a graph the solution of a system of a linear equations will be represented by what?
The set of points the graphed equations have in common. This is usually a single point but the lines can be coincident in which case the solution is a line or they can be parallel in which case there are no solutions to represent.
How many solutions does linear equation in two variable have?
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.
Is it possible for the graph of an inequality to consist of only one number?
No it is not if you have a single inequality. It you had a single point as the solution, then it effect you would have an equality. If you have x> or equal to 1 and x< or equal to 1 then the graph is the single point 1. So it is possible with systems of inequalities.
What is the solution of an equation with 2 variables x and y?
A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
Is it possible for a system of two linear inequalities to have no solution?
Sure. Visualize the graphs of two half-planes, each representing a linear inequality. Those can overlap, or they might not overlap. For example:x > 2, andx < 0But a similar example can be made with two variables, as well.x + y > 3x + y < 2If you graph it, you will get two half-planes that don't touch.If you look at the equations, for any combination of values for x and y, the result can't be both more than 3 and less than 2, so there is not a single solution.
What do you call the three systems of linear equation?
Single answer. Coincidental (same equation), No solution.
When solving systems of linear equations what does the solution represent?
A single point, at which the lines intercept.
When the equation in a linear system have different slopes then the system has what kind of solution?
It is not possible to tell. The lines could intersect, in pairs, at several different points giving no solution. A much less likely outcome is that they all intersect at a single point: the unique solution to the system.
What is a system of linear equations?
A system of linear equations determines a line on the xy-plane. The solution to a linear set must satisfy all equations. The solution set is the intersection of x and y, and is either a line, a single point, or the empty set.
What is answer x plus y equals 4?
This is a linear equation in two variables and the coordinates of each and every point on the line that it describes is a solution. A single linear equation does not have an "answer".
What is -10 equals -10 plus 7m?
It is a linear equation in the single variable, m. It has the solution m = 0
What is the answer to 8x plus 4 equals 4y?
It is not possible to solve a single linear equation in two unknown variables.
How do you solve 6x plus 7 equals -14y?
It is not possible to solve a single linear equation in two variables.
