2x+3y = 6
2x+3(0) = 6
2x = 6
x = 6/2
x = 3
The system is simultaneous linear equations
Inconsistent linear equations in two variables.
The solution of the system of linear equations ( x = 0 ) and ( y = 0 ) is the single point (0, 0) in the Cartesian coordinate system. This point represents the intersection of the two equations, where both variables are equal to zero. Thus, the only solution is the origin.
To analyze the linear system given by the equations (3x + 6y = 6) and (x + 2y = 12), we can simplify both equations. The first equation can be rewritten as (x + 2y = 2) by dividing by 3. Now we have the system: (x + 2y = 2) (x + 2y = 12) Since both equations cannot be true simultaneously (they represent parallel lines), the system has no solution.
A system of linear equations that has at least one solution is called consistent.
The system is simultaneous linear equations
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
It probably means that one of the equations is a linear combination of the others/ To that extent, the system of equations is over-specified.
Simultaneous equations have at least two unknown variables.
Inconsistent linear equations in two variables.
The solution of the system of linear equations ( x = 0 ) and ( y = 0 ) is the single point (0, 0) in the Cartesian coordinate system. This point represents the intersection of the two equations, where both variables are equal to zero. Thus, the only solution is the origin.
A "system of equations" implies that there is more than one equation.
To analyze the linear system given by the equations (3x + 6y = 6) and (x + 2y = 12), we can simplify both equations. The first equation can be rewritten as (x + 2y = 2) by dividing by 3. Now we have the system: (x + 2y = 2) (x + 2y = 12) Since both equations cannot be true simultaneously (they represent parallel lines), the system has no solution.
A system of linear equations that has at least one solution is called consistent.
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Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.
The solution of a system of linear equations is a pair of values that make both of the equations true.