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.
Simultaneous Equations are very helpful because it can help u solve problems in real life. There are 2 ways to approach a simultaneous equation, Substitution and elimination method. As a good practice it is always good to practice your substitution method first. I wont go too advance for now but consider this question;Find two numbers whose sum is 21 and difference is 9.This question requires 2 equation to solve; thus it is call simultaneous equation.Solve: Let x be a number, and Let y be another number.x + y = 21 equation 1x - y = 9 equation 2Rearrange equation 2 to make equation 3(Equation 3 is just to sub into the other eqs)x = 9 + y equation 3Sub equation 3 into 1(9 + y) + y = 219 + 2y = 212y = 12y = 6 First solution!Sub y = 6 into equation 2x - 6 = 9x = 15 Second Solution!Therefore, the numbers are 15 and 6.In a simultaneous equation (with 2 variable) there will always be 2 answers.This is copied from my other worked examples. I do not really understand your question. If you have a simultaneous equation that you can't solve. Post it up and i will help.* * * * *Good answer, but spoiled by the last-but-one paragraph. Simultaneous linear equations with two variables can have no solutions (if the corresponding graphs are distinct parallel lines) or infinitely many solutions (if they are, in effect, the same line). And then, there are always simultaneous non-linear equations. Two quadratics, for example, can have 0, 1, 2 or infinitely many solutions.
Equations of the form z^4+az^2+a_0 are known as biquadratic equations. They are quartic equations. In general they can be solved by reducing them to a quadratic equation where x=z^2 is the variable. Then you can use the quadratic formula or factor. So plugging in x to the biquadratic giives us x^2+ax+a_0.
1 If: 2x+5y = 16 and -5x-2y = 2 2 Then: 2*(2x+5y =16) and 5*(-5x-2y = 2) is equvalent to the above equations 3 Thus: 4x+10y = 32 and -25x-10y = 10 4 Adding both equations: -21x = 42 or x = -2 5 Solutions by substitution: x = -2 and y = 4
z + 8 - 2 is an expression, not an equation. An expression cannot be solved. At best, you can simplify it to z + 6.
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.
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)
This cannot be solved for numerical answers. There must be 2 equations if there are 2 variables.
This cannot be solved. If you have 2 unknowns (a,b) then you must have 2 equations.
Simultaneous equations are where you have multiple equations, often coupled with multiple variables. An example would be x+y=2, x-y=2. To solve for x and y, both equations would have to be used simultaneously.
This cannot be solved. It needs 2 equations to solve for 2 unknowns.
By substitution or elimination in simultaneous equations.
By solving the simultaneous equations the values of x and y should be equal to the given coordinate
They are straight line graphs that work out the solutions of 2 equations or simultaneous equations
A pair of simultaneous equations in two unknowns which are inconsistent - in the sense that there is no solution that simultaneously satisfies both equations. Graphically, the equations are those of two parallel lines (slope = 2). Since, by definition, they cannot meet there is no solution to the system.
The point of intersection of the given simultaneous equations of y = 4x-1 and 3y-8x+2 = 0 is at (0.25, 0) solved by means of elimination and substitution.
A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.