When you give us a multiple choice question and don't include the choices, we feel sad.
By elimination or substitution
It depends on your level of expertise. The simplest method is to invert the matrix of coefficients.
if a dependent system of equation is solved, how many solutions will there be?
A parallel equation has the same slope to the given equation. Note that your equation is in slope-intercept form; when an equation is solved for "y" (y = ...x + ...), the number in front of the "x" is the slope. Solve each of the other equations for "y" (if they are not already solved for "y"), and check the number in front of the "x".
It cannot be solved because it is not an equation.
By elimination or substitution
It depends on your level of expertise. The simplest method is to invert the matrix of coefficients.
The answer depends on whether they are linear, non-linear, differential or other types of equations.
A recurrence system can be solved by finding and solving its closed form. A closed form is easily found for simple arithmetic or geometric recurrence systems, but may be hard to find for recurrence systems of a more complex nature. In this case, the recurrence system can be solved recursively.
Yes mathematical equations can be solved.
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)
if a dependent system of equation is solved, how many solutions will there be?
Algebraic expressions can't be solved because they are not equations but they can be simplified.
Simultaneous equations can be solved using the elimination method.
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.
A parallel equation has the same slope to the given equation. Note that your equation is in slope-intercept form; when an equation is solved for "y" (y = ...x + ...), the number in front of the "x" is the slope. Solve each of the other equations for "y" (if they are not already solved for "y"), and check the number in front of the "x".
Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.