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When two line graphs are crossing what does it mean?
It means that the coordinates of the point of intersection satisfy the equations of both lines. In the case of simultaneous [linear] equations, these coordinates are the solution to the equations.
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.
When solving a system of equations by graphing how is the solution found?
The solution is the coordinates of the point where the graphs of the equations intersect.
What is the point at which the lines intersect in a system of linear equations?
The coordinates of the point of intersection represents the solution to the linear equations.
Is an advantage to using equations?
yes
What is the significance of the intersection point of two lines?
The coordinates of the point of intersection must satisfy the equations of both lines. So these coordinates represent the simultaneous solution to the two equations that that represent the lines.
What has the author Llewelyn Gwyn Chambers written?
Llewelyn Gwyn Chambers has written: 'Integral equations' -- subject(s): Integral equations 'Generalised coordinates' -- subject(s): Coordinates, Mathematical physics, Mechanics
How the heat conduction equations for spherical and cylindrical coordinates were derived?
The coordinates for equations dealing with cylindrical and spherical conduction are derived by factoring in the volume of the thickness of the cylindrical control. Coordinates are placed into a Cartesian model containing 3 axis points, x, y, and z.
How do you derive navier stokes equation in spherical coordinates?
To derive the Navier-Stokes equations in spherical coordinates, we start with the general form of the Navier-Stokes equations in Cartesian coordinates and apply the transformation rules for spherical coordinates ((r, \theta, \phi)). This involves expressing the velocity field, pressure, and viscous terms in terms of the spherical coordinate components. The continuity equation is also transformed accordingly to account for the divergence in spherical coordinates. Finally, we reorganize the resulting equations to isolate terms and ensure they reflect the physical properties of fluid motion in a spherical geometry.
When solving a system of equations by elimination What would you want to get?
The coordinates (x,y). It is the point of intersection.
How do you find the equation of a line with two coordinates?
Assume the equation is y = kx + c Put in the x and y values of your known coordinates and sove the simultaneous equations.
What is graphing method?
In systems of equations, the graphing method is solving x and y by graphing out the two equations. x and y being the coordinates of the two line's intersection.
