युगपत समीकरण हल करने की विभिन्न विधियों को समझाइये।
Explain the different methods of solvi equations.
Answers
Answer:
युगपत समीकरणों के हल के लिये प्राय: निम्नलिखित विधियाँ उपयोग में लायी जाती हैं:
प्रतिस्थापन विधि (substitution)
ग्राफीय विधि (समीकरणों का ग्राफ खींचकर)
विलोपन विधि (elimination)
मैट्रिक्स विधि
आंकिक विधि (न्युमेरिकल मेथड)
Step-by-step explanation:
Answer:
Systems of equations can be solved using one of three techniques: graphing, substitution, elimination, Cross multiplication method
Matrix method
Step-by-step explanation:
Graphing:
Simply plot the provided equations on a graph and locate the point(s) where they all cross to solve a problem by graphing. You may find the values of the variables you are working for by finding the coordinate of this point. When the equations are already expressed in slope-intercept form, this is most effective.
Substitution Method is the next technique. The best time to utilise substitution is when one of the equations is in terms of a particular variable, such as y=2x+4. However, equations can always be changed. The initial stage in this process is to resolve one of the one-variable equations. To solve for the numerical value of the following variable, find an expression for it and then enter it into the other equation where the original variable was. The final step is to change the matching variable in the initial equation with the number value that was discovered in.
Elimination:
Elimination is the process of combining the equations to produce a single-variable equation. This is only possible when one variable's coefficients in both equations are in opposition to one another and will cancel out when combined together. Elimination works best when this is the case in the equations already, but it is also possible to alter the equations to get common coefficients by multiplying or dividing them by a predetermined value. The next step would be to plug the value of the variable back into the equation we originally created in order to determine the value of the remaining variable.
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