# Linearize equation calculator

Wolfram Alpha is capable of solving a wide variety of systems of equations. It can solve systems of linear equations or systems involving nonlinear equations, and it can search specifically for integer solutions or solutions over another domain. Additionally, it can solve systems involving inequalities and more general constraints.

Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary.

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Here are some examples illustrating how to ask about solving systems of equations. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. The solutions to systems of equations are the variable mappings such that all component equations are satisfiedâ€”in other words, the locations at which all of these equations intersect.

To solve a system is to find all such common solutions or points of intersection. Systems of linear equations are a common and applicable subset of systems of equations. In the case of two variables, these systems can be thought of as lines drawn in two-dimensional space. If all lines converge to a common point, the system is said to be consistent and has a solution at this point of intersection. The system is said to be inconsistent otherwise, having no solutions.

Systems of linear equations involving more than two variables work similarly, having either one solution, no solutions or infinite solutions the latter in the case that all component equations are equivalent.

More general systems involving nonlinear functions are possible as well. These possess more complicated solution sets involving one, zero, infinite or any number of solutions, but work similarly to linear systems in that their solutions are the points satisfying all equations involved. Going further, more general systems of constraints are possible, such as ones that involve inequalities or have requirements that certain variables be integers.

Solving systems of equations is a very general and important idea, and one that is fundamental in many areas of mathematics, engineering and science. Uh oh! Wolfram Alpha doesn't run without JavaScript. Please enable JavaScript.

If you don't know how, you can find instructions here. Once you've done that, refresh this page to start using Wolfram Alpha.This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. Learn more Accept. Linear Approximation. Conic Sections Trigonometry.

Join million happy users! Sign Up free of charge:. Join with Office Join with Facebook. Create my account. Transaction Failed! Please try again using a different payment method. Subscribe to get much more:. User Data Missing Please contact support. We want your feedback optional. Cancel Send. Generating PDF See All area asymptotes critical points derivative domain eigenvalues eigenvectors expand extreme points factor implicit derivative inflection points intercepts inverse laplace inverse laplace partial fractions range slope simplify solve for tangent taylor vertex.Wolfram Alpha is a great tool for finding polynomial roots and solving systems of equations.

It also factors polynomials, plots polynomial solution sets and inequalities and more. Enter your queries using plain English.

### Linear Regression Calculator

To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to formulate queries. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. The largest exponent of appearing in is called the degree of. If has degreethen it is well known that there are roots, once one takes into account multiplicity.

To understand what is meant by multiplicity, take, for example. This polynomial is considered to have two roots, both equal to 3. One learns about the "factor theorem," typically in a second course on algebra, as a way to find all roots that are rational numbers. One also learns how to find roots of all quadratic polynomials, using square roots arising from the discriminant when necessary.

## Linear Equation Calculator

There are more advanced formulas for expressing roots of cubic and quartic polynomials, and also a number of numeric methods for approximating roots of arbitrary polynomials.

These use methods from complex analysis as well as sophisticated numerical algorithms, and indeed, this is an area of ongoing research and development. Systems of linear equations are often solved using Gaussian elimination or related methods. This too is typically encountered in secondary or college math curricula. More advanced methods are needed to find roots of simultaneous systems of nonlinear equations. Similar remarks hold for working with systems of inequalities: the linear case can be handled using methods covered in linear algebra courses, whereas higher-degree polynomial systems typically require more sophisticated computational tools.

For equation solving, Wolfram Alpha calls the Wolfram Language's Solve and Reduce functions, which contain a broad range of methods for all kinds of algebra, from basic linear and quadratic equations to multivariate nonlinear systems.

In some cases, linear algebra methods such as Gaussian elimination are used, with optimizations to increase speed and reliability.This simple linear regression calculator uses the least squares method to find the line of best fit for a set of paired data, allowing you to estimate the value of a dependent variable Y from a given independent variable X.

This calculator will determine the values of b and a for a set of data comprising two variables, and estimate the value of Y for any specified value of X. To begin, you need to add paired data into the two text boxes immediately below either one value per line or as a comma delimited listwith your independent variable in the X Values box and your dependent variable in the Y Values box.

For example, if you wanted to generate a line of best fit for the association between height and shoe size, allowing you to predict shoe size on the basis of a person's height, then height would be your independent variable and shoe size your dependent variable.

This calculator can estimate the value of a dependent variable Y for any specified value of an independent variable X. Simply add the X values for which you wish to generate an estimate into the Estimate box below either one value per line or as a comma delimited list.

Note : If you just want to generate the regression equation that describes the line of best fit, leave the box below blank. X Values. Y Values.This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. Learn more Accept.

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Linear Equation Calculator Solve linear equations step-by-step. Correct Answer :. Let's Try Again :. Try to further simplify. Welcome to our new "Getting Started" math solutions series.

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Cancel Send. Generating PDF See All area asymptotes critical points derivative domain eigenvalues eigenvectors expand extreme points factor implicit derivative inflection points intercepts inverse laplace inverse laplace partial fractions range slope simplify solve for tangent taylor vertex.Usually, you find this type of question in Section 3 but it may appear in Section 2 also.

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This question is in the form of a paragraph whichTrue False Not Given questions are considered to be the trickiest questions in IELTS Reading where candidates get confused a lot. Usually, most of the candidates find it confusing to identify whether the question is false or not given. LetYes no not given questions are similar to true false not given questions. The tips for yes no not given questions are same as you need to keep in mind for true false not given questions.

The difference between theOne of the most difficult questions that students face in IELTS reading is matching heading type of questions.

Students get worried about solving such questions as they get confused about so many given headings out of which they are to choose oneMCQ stands for multiple choice question which is considered to be one of the difficult questions in IELTS reading test. In such MCQs, you are given several options out of which you have to choose one option. Candidates appearing for theThere are many IELTS training institutes with a number of IELTS trainers.

You might be already enrolled with an IELTS trainer or thinking to register with one. In either case, you should be aware beforehand what quality training in IELTS is. The advantages provided by English as a global languageThis is one more IELTS Writing task Essay Evaluation question with a model answer attached to it.

Some universities now offer their courses on the Internet so that people can study online. Is this a positive or negative development. One thing to notice hereIn the IELTS listening exam, you can find completion type of questions in the last section i. In these questions, you find a list of statements with blanks to be filled after listening to audio conversation.

The questionIn IELTS Listening test, one of the easy questions is of diagram type that is quite common in Section 2. In such questions, you are given a diagram which can of any equipment, instrument, gadget, manufacturing process or anything whichYou may come across flow chart type of questions in IELTS listening exam, probably in Section 2.

This is another form of diagram questions where you need to fill the flow chart by listening to the audio. Flow chart isOne of the tricky questions apart from multiple choice questions in IELTS listening are the matching heading type of questions.

As it can be determined by the term itself, matching heading involves matching a list of questions to another listIELTS listening section 1 is perhaps the easiest part of IELTS listening exam.

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The reason is that you have simple questions of form filling or short notes type. If you can get all the ten questions right in this section, it wouldDid you notice a spelling error in this article title. Yes, you are right. It should be written as IELTS Listening, not ILETS Listening. The reason why this spelling error is highlighted in the title is to draw your attention towards the wordSince Indian students are writing and speaking in English with Indian accent, with not much exposure to foreign accent, it can be the cause of some penalties they may face in IELTS listening module.

Let us know what these likelyIn the previous article, we discussed how to crack IELTS Listening Section 3. In this article, we will look at the next section in IELTS Listening test i. In this section, almost all the times, you find sentenceIELTS Listening module consists of 4 sections viz. Section 1, Section 2, Section 3 and Section 4.

Out of all these sections, Section 3 is the part where you listen to audio conversation of up to 4 people. This is perhapsSection 2 is one of the easy parts in IELTS listening exam because in this section, you hear an audio which is a monologue where only one speaker is there to talk about every day social situation.

IELTS Listening Section 2 generally consists ofSo,In this article, we are putting up model answers for the Recent Exam IELTS Speaking task 3 question. The examiner will take your face to face interview. The examiner will lead you through the three parts of the test: An introduction A speak up where the candidate speaksIn this article we are going to focus on improving our speaking skills for IELTS Speaking Exam.Personally I always like to bet on the spread as it gives close action even when one side is heavily favored to win the clash.

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Bet365 have a vast selection of games, along with bingo lobbies ranging in winning prizes, entry fees and number of balls used. You should know that live streaming may be geographically restricted and you must have money in your account, or have a bet dating from the preceding 24 hours.

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