By definition, there cannot be a simultaneous equation that cannot be solved, there must be a set of simultaneous equations. It is important to realise that simultaneous equations need not be linear.
It is simple to devise a pair of linear equations that are inconsistent:
x + y = 1 and x + y = 2
There is no solution. Graphically, the two lines are parallel.
Another possibility is
x + y = 1 and 2x + 2y = 2
In this case there are an infinite number of solutions. Graphically, the two lines are coincidet, so that every point on the common line is a solution. There is, therefore, no unique solution.
Yet another situation can arise when the domain of the equations is restricted.
For example,
x2 + y2 = -1 where x and y are real along with any other equation in x and y.
If it's a simultaneous equation in x and y variables then x or y may be solved before substitution.
It's a simultaneous equation and can be solved by elimination which works out as:- x = -4 and y = 1
It is a simultaneous equation and when solved its solutions are x = 71/26 and y = 50/13
The present perfect forms are have solved and has solved.Examples:They have solved the equation. (plural subject)He has solved the equation. (singular subject)
Another straight line equation is needed such that both simultaneous equations will intersect at one point.
sometimes they just cant be solved without a calculator
If it's a simultaneous equation in x and y variables then x or y may be solved before substitution.
That equation cannot be solved since there are 2 unknown in the equation (x and y) but only 1 equation. The number of unknowns must be equal to the number of equations (for simultaneous equations)
It's a simultaneous equation and can be solved by elimination which works out as:- x = -4 and y = 1
It is a simultaneous equation and when solved its solutions are x = 71/26 and y = 50/13
A simultaneous equation
x = -1/5 and y = 14/5 Solved by forming a simultaneous equation and eliminating y.
No because it's not a simultaneous equation but some kind of algebraic expression
Simultaneous suggests at least two equations.
The present perfect forms are have solved and has solved.Examples:They have solved the equation. (plural subject)He has solved the equation. (singular subject)
Simultaneous equation is nothing: it cannot exist.A system of simultaneous equations is a set of 2 or more equations with a number of variables. A solution to the system is a set of values for the variables such that when the variables are replaced by these values, each one of the equations is true.The equations may be linear or of any mathematical form. There may by none, one or more - including infinitely many - solutions to a system of simultaneous equations.
Another straight line equation is needed such that both simultaneous equations will intersect at one point.