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You find a solution set. Depending on whether the equations are linear or otherwise, consistent or not, the solution set may consist of none, one, several or infinitely many possible solutions to the system.

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Q: When solving a system of equations by elimination you find what?
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How do you find the solution set of pair linear equations?

By the substitution method By the elimination method By plotting them on a graph


What is a good slogan for the elimination method or substitution method in math (algebra)?

"A slogan for the elimination method in algebra could be 'Combine and conquer!' This highlights the strategy of adding or subtracting equations to eliminate variables. For the substitution method, a slogan like 'Swap and solve!' could emphasize the idea of substituting expressions to find the solution."


How do you find equation when 2 equations and 1 coordinate is given?

By solving the simultaneous equations the values of x and y should be equal to the given coordinate


What is the use of gaussian elimination in real world situations?

The gaussian elimination is used to solve many linear equations with many unknown varaibles at once. [See related link below to find out how to do it]. This is used alot by engineers you know ceratin variables in there structures and want to find out what the stress and strain is in certain areas. They make up there linear equations and then they can use the gaussian elimination method to find the unknown variables.


How we find the root of a equations?

That is the same as solving the equation. There is no single and simple method to solve ANY equation. You have to learn lots of different methods, to solve different types of equations. You might start by picking up an algebra book - to a large part, such books deal with the topic of solving equations.

Related questions

What is the elimination methods?

A method for solving a system of linear equations; like terms in equations are added or subtracted together to eliminate all variables except one; The values of that variable is then used to find the values of other variables in the system. :)


what is the answer to 5x+3y=13 And -7x-8y=16?

To find the solution to this system of equations, we can use the method of substitution or elimination. Solving these equations simultaneously, we can first isolate one variable in one of the equations and substitute it into the other equation. Then, we can solve for the remaining variable. Finally, we substitute the value of the variable back into one of the original equations to find the values of x and y. The solution to the system of equations 5x + 3y = 13 and -7x - 8y = 16 is x = -1 and y = 6.


What are you trying to find when solving a system of linear equations?

You are trying to find a set of values such that, if those values are substituted for the variables, every equation in the system is true.


How do you find the point that two equations intersect?

If the equations are in y= form, set the two equations equal to each other. Then solve for x. The x value that you get is the x coordinate of the intersection point. To find the y coordinate of the intersection point, plug the x you just got into either equation and simplify so that y= some number. There are other methods of solving a system of equations: matrices, substitution, elimination, and graphing, but the above method is my favorite!


What does solving a system of equations actually mean?

That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.


what is the answer to 5x+3y=12 And x-4y=7?

To find the solution to the system of equations 5x + 3y = 12 and x - 4y = 7, you can use the method of substitution or elimination. By solving one of the equations for x or y and substituting it into the other equation, you can find the values of x and y. In this case, solving the second equation for x gives x = 4y + 7. Substituting this into the first equation gives 5(4y + 7) + 3y = 12. Simplifying this equation will give you the values of y, which you can then substitute back to find the value of x.


What methods of solving systems are needed to solve a three variable system?

Simultaneous equations are usually used in mathematics to find the values of three variables within a system.


What is the main goal when solving equations?

The main goal is to find a set of values for the variables for which all the equations are true.


How do you find the solution set of pair linear equations?

By the substitution method By the elimination method By plotting them on a graph


What is a good slogan for the elimination method or substitution method in math (algebra)?

"A slogan for the elimination method in algebra could be 'Combine and conquer!' This highlights the strategy of adding or subtracting equations to eliminate variables. For the substitution method, a slogan like 'Swap and solve!' could emphasize the idea of substituting expressions to find the solution."


What adds to 3 and multiplies to 18?

To find two numbers that add to 3 and multiply to 18, we can set up a system of equations. Let's call the two numbers x and y. We have the equations x + y = 3 and x * y = 18. By solving this system, we can find that the numbers are 1.5 and 12.


What two numbers is the sum of 21 and product of 110?

Oh, dude, you're hitting me with some math here. So, the two numbers that add up to 21 and multiply to 110 are 10 and 11. It's like they're the dynamic duo of numbers, solving equations like it's their day job.