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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 1
x - y = 9 equation 2
Rearrange equation 2 to make equation 3(Equation 3 is just to sub into the other eqs)
x = 9 + y equation 3
Sub equation 3 into 1
(9 + y) + y = 21
9 + 2y = 21
2y = 12
y = 6 First solution!
Sub y = 6 into equation 2
x - 6 = 9
x = 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.
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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.
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What 2 simultaneous equations that cannot be solved?
x + y = 1 x + y = 2
What is Simultaneous Equations?
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.
The ELIMINATION method performs operations on a system of equations to?
Simultaneous equations can be solved using the elimination method.
What are equations that have the same answer?
Simultaneous equations have the same solutions
What is the definition of 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.
What 2 simultaneous equations that cannot be solved?
x + y = 1 x + y = 2
What is Simultaneous Equations?
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.
The ELIMINATION method performs operations on a system of equations to?
Simultaneous equations can be solved using the elimination method.
Can rational equations steps to solving be eliminated or changed in any way?
Simultaneous equations can also be solved by substitution or graphically
Y plus 4 equals 4x-2?
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)
Is there simultaneous equation which cant be solved?
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 = 2There is no solution. Graphically, the two lines are parallel.Another possibility isx + y = 1 and 2x + 2y = 2In 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.
How do you solve the equations a x 492x?
It cannot be solved because it is not an equation.
What is p q and p q as a simultaneous equation?
p q and p q cannot be a useful part of a system of simultaneous equations since they are the same!
What are equations that have the same answer?
Simultaneous equations have the same solutions
What do you call equations that have the same solution?
They are simultaneous equations
When lines overlap in a system of equations?
Then they are simultaneous equations.
How can yu identify the three variables in an experiment?
This type of experiment is common. For example, which of the elements of the new poultry feed produced the best outcome for the least cost? -- A common industrial task. This is solved by the use of simultaneous equations. The extreme example of a multi-variable experiment is in the cat-scan or similar measurement, where many thousand simultaneous equations are solved in a similar number of variables, to produce the end result. These numeric analyses could never be solved using human calculation power, for the analysis time would be too long. Only with the digital computer, and an algorithm for solving massive simultaneous equations, did this become possible.
