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Each inequality divides the Cartesian plane into two parts. On one side of the line the inequality is satisfied while on the other it is not. A system of inequalities divides the plane into a number of such parts and the intersection of these parts in which the inequalities are true defines the the required region.

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Q: How do you know which region of a system of inequalities is the solution?
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How do you know if a point is a solution to a system of equations?

The coordinates of the point satisfy each of the equations.


How would you know if a linear system has a solution?

One way is to look at the graphs of these equations. If they intersect, the point of intersection (x, y) is the only solution of the system. In this case we say that the system is consistent. If their graphs do not intersect, then the system has no solution. In this case we say that the system is inconsistent. If the graph of the equations is the same line, the system has infinitely simultaneous solutions. We can use several methods in order to solve the system algebraically. In the case where the equations of the system are dependent (the coefficients of the same variable are multiple of each other), the system has infinite number of solutions solution. For example, 2x + 3y = 6 4y + 6y = 12 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. Try to solve this system of equations, 2x + 3y = 6 4x + 6y = 7 If you use addition or subtraction method, and you obtain a peculiar result such that 0 = 5, actually you have shown that the system has no solution (there is no point that satisfying both equations). When you use the substitution method and you obtain a result such that 5 = 5, this result indicates no solution for the system.


When you solve equation describe how you know when there will be a infinite solutions?

If the solution contains one variable which has not been fixed then there are infinitely many solution.


Is (67) a solution for 4x-5y-13?

This is not an equation since there is no equals sign. This means it is an expression, which can't be solved, only simplified. Even if it were an equation, there are two variables in this expression, so without knowing the values for both variables, we would not know if 67 is a solution.


How do you find a solution for a linear equation?

Solution can be found by using three methods: 1. Cross Multiplication Method 2. Substitution Method 3. Elimination Method Other Method can also be there but I don't know You can further get info about these method by searching these on Google Search.

Related questions

How do you know if a system has one solution?

If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.


How do you know which region of the graph of a system of linear inequalities contains the solutions?

If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.


You know that equations and inequalities have different solution symbols, therefore, how many solutions will each one of them have when solving for the variable?

50


When graphing circles how do you know which way to shade the line?

When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.


How do quadratic inequalities differ from quadratic equations?

I dont know the answer


How do you write an inequality as two inequalities?

Google it, I dont know :P


Why is it important to know various techniques for solving systems of equations and inequalities?

It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.


When doing algebra how do you know what region to shade?

Given an inequality, you need to decide whether you are required to shade the region in it is TRUE or FALSE. If you are given several inequalities, you would usually be required to shade the regions where they are false because shading is additive [shading + shading = shading] and you will be left with the unshaded region where all the inequalities are true.Next, select any point which is not of the line or curve for the inequality. Plug its coordinates into the inequality: it the result FALSE? If so, shade the region (relative to the line or curve) in which the point is found. If substituting the coordinates gives an inequality which is TRUE then shade the regions which is the other side of the line or curve.


How do you know if a point is a solution to a system of equations?

The coordinates of the point satisfy each of the equations.


I have vista home premium and you keep getting the blue screen of death does anyone know a solution?

its a system error


Is 3 6 a solution to this system of equations yequals3x - 3 3x - yequals3?

(3, 6)-------------------Let's see.(6) = 3(3) - 33(3) - (6) = 36 = 9 - 39 - 6 = 36 = 63 = 3========== (3, 6) is a solution to the system of equations. The only solution? I do not know.


Why a feasible region is the unshaded region?

i know that a feasible region, is the region which satisfies all the constraints but i don't know exactly why is the unshaded region regarded as a feasible region instead of the shaded region.