x = x + 1x squared = -1 (if you only accept real numbers - this equation does have solutions in the complex numbers)sin x = 2 (the sine can only be in the range -1 to +1)
there is no linear equations that has no solution every problem has a solution
A linear equation with the solution ( x = 3 ) can be expressed as ( x - 3 = 0 ) or simplified to ( x = 3 ). Other examples of linear equations using this solution include ( 2x - 6 = 0 ) and ( 5x + 15 = 30 ). Each of these equations will yield ( x = 3 ) when solved.
Equivalent equations are equations that have the same solution set.
They are simultaneous equations
Yes, a system of equations can have more than one solution if the equations represent the same line or plane in a geometric sense. In such cases, there are infinitely many solutions that satisfy all equations simultaneously. This typically occurs in systems of linear equations where the equations are dependent. Conversely, if the equations are independent, the system will either have a unique solution or no solution at all.
there is no linear equations that has no solution every problem has a solution
Equivalent equations are equations that have the same solution set.
Equivalent equations
They are simultaneous equations
The solution of a system of linear equations is a pair of values that make both of the equations true.
The solution is the coordinates of the point where the graphs of the equations intersect.
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
y=x2 and y=lnx are two examples of nonlinear equations.
There can be all sorts of equations for a solution such as 27. Some examples would be: x + 10 = 37 x2 = 729 x - 10 = 17 where x = 27, in all equations.
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.
The graphs of the two equations have only one intersection point.
equal equations.