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Q: When system of linear equations is graphed how is the graph of each equation related to the solutions of that equation?
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How are the graph of an equation and the set of all solutions of an equation related?

The coordinates of every point on the graph, and no other points, are solutions of the equation.


What is the equation for matter?

There are several equations related to matter. What is it you want to calculate?There are several equations related to matter. What is it you want to calculate?There are several equations related to matter. What is it you want to calculate?There are several equations related to matter. What is it you want to calculate?


What is the name of an equation that shows hoe one variable is related to one or more variables?

You maybe thinking of straight line equations or simultaneous equations


How do you decide how many solutions a linear system in three variables has?

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.


How are the real solutions of a quadratic equation related to the graph of the quadratic function?

The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.

Related questions

How are graphs and equations related?

The graph of an equation represents the solution set of the equation, that is all the solutions of the equation are points that lie on the graph and all the points that lie on the graph are solutions of the equation.


How are the graph of an equation and the set of all solutions of an equation related?

The coordinates of every point on the graph, and no other points, are solutions of the equation.


What is the equation for matter?

There are several equations related to matter. What is it you want to calculate?There are several equations related to matter. What is it you want to calculate?There are several equations related to matter. What is it you want to calculate?There are several equations related to matter. What is it you want to calculate?


What is the equation for electricity?

There are many equations related to electricity. You will have to be more specific.


How are graphs tables and equations related?

They are different ways to represent the answers of an equation


How are the equations for photosyntheis and cellular respiration related?

Yes they are related. Carbohyrdates are used in respiration.


What is the name of an equation that shows hoe one variable is related to one or more variables?

You maybe thinking of straight line equations or simultaneous equations


What is a related equation?

A related equation is a set of equations that all communicate the same relationship between three values, but in different ways. Example: a+b=c a=c-b b=c-a


How is the percent proportion related to an equation?

A percent proportion is related to an equation because they are both used to indicate part of another whole. Equations are complex forms of fractions, sequence and they express logic.


Does quadratic equation relate to science?

No, the quadratic equation, is mainly used in math to find solutions to quadratic expressions. It is not related to science in any way.


How are the continuity equation and bernoulli's equation related?

Continuity equations describe the movement of constant. Bernoulli's equation also relates to movement, the flow of liquids. For some situations, where the liquid flowing is a constant, both a continuity equation and Bernoulli's equation can be applied.


How do you decide how many solutions a linear system in three variables has?

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.