Solving Systems of Equations:
Previously, we have been dealing with just one equation at a time. But now, we will work with more than one variable and more than one equation. These are termed as systems of equations. Whenever answering a system of equations, you require giving the value for each and every variable.
Solving Systems of Linear Equations:
There are six ways that we can utilize to solve a system of the linear equations:
Graphically:
Substitution:
Addition/Elimination:
Gaussian Elimination/Gauss Jordan Elimination:
Cramer's Rule:
Matrix Algebra/Matrix Inverses:
The technique of substitution will work with non-linear and also linear equations.
a) Solve one of the equations for one of variables.b) Replace that expression in for the variable in other equation.c) Solve the equation for the residual variable.d) Back-substitute the value for variable to determine the other variable.e) Check.
The procedure of back-substitution includes taking the value of variable found in step c and replacing it back to the expression obtained in step a (or the original problem) to find out the remaining variable.
It is significant that both the variables be given whenever solving a system of equations. The common mistake students make is to find out one variable and stop there. You need to comprise a value for all variables.
This is a good idea to ensure your answer to the both equations, however is probably adequate to check the equation you did not isolate the variable in first step. That is, when you solved for y in the first equation in step a, employ the second equation to ensure the answer.
Graphical Approach:
The graphical approach works fine with a graphing calculator, however is imprecise by hand (did such points intersect at 1/6 or 1/7?) unless the graph occurs to drop exactly on grid lines.
a) Solve each of equation for y. This might include a plus and minus when there is an y2 term. When you are not graphing with a computer or calculator, you can skip this step.
b) Graph each and every equation.
c) Find out the points of intersection.
d) Check.
It is significant to check your answers to make sure that you read the intersection point properly.
Sometimes the calculator will fail to provide an intersection point by using the intersect command. You might need to use the trace characteristic of the calculator to determine the intersection point. You might use your calculator to ensure the answer.
Try to transform your answer to fractional form when possible.
The graphical approach can keep a lot of time whenever you are working with the non-linear system of equations.
Latest technology based Algebra Online Tutoring Assistance
Tutors, at the www.tutorsglobe.com, take pledge to provide full satisfaction and assurance in Algebra help via online tutoring. Students are getting 100% satisfaction by online tutors across the globe. Here you can get homework help for Algebra, project ideas and tutorials. We provide email based Algebra help. You can join us to ask queries 24x7 with live, experienced and qualified online tutors specialized in Algebra. Through Online Tutoring, you would be able to complete your homework or assignments at your home. Tutors at the TutorsGlobe are committed to provide the best quality online tutoring assistance for Algebra Homework help and assignment help services. They use their experience, as they have solved thousands of the Algebra assignments, which may help you to solve your complex issues of Algebra. TutorsGlobe assure for the best quality compliance to your homework. Compromise with quality is not in our dictionary. If we feel that we are not able to provide the homework help as per the deadline or given instruction by the student, we refund the money of the student without any delay.
theory and lecture notes of two-way analysis of variance all along with the key concepts of two-way analysis of variance, homework help, assignment help, f distribution and f-test tutors. tutorsglobe offers homework help, assignment help and tutor’s assistance on two-way analysis of variance.
Polymer Solutions tutorial all along with the key concepts of Thermodynamics of Polymer Solution, Phase Equilibrium, Polymer solubility
Theory and lecture notes of Universal Turing machine all along with the key concepts of universal turing machine, Roles of three tapes, Turing Machines. Tutorsglobe offers homework help, assignment help and tutor’s assistance on Universal Turing machine.
Economic Sources-Industrial Methods of Polymers tutorial all along with the key concepts of Varieties of plastics, Expensive/ non-economic process of producing polymers
on/off 2 display, left and right selection key, navi key: 4-way scroll key and middle selection, cell key, keypad, end key, microphone, charger connector, audio connector, speaker, camera
www.tutorsglobe.com offers alkenes homework help, alkenes assignment help, online tutoring assistance, organic chemistry solutions by online qualified tutor's help.
theory and lecture notes of construction and mechanism of operation all along with the key concepts of construction of bjt, operation of n-p-n bjt, current components, minority carrier profile and notation to an n-p-n bjt. tutorsglobe offers homework help, assignment help and tutor’s assistance on construction and mechanism of operation.
tutorsglobe.com second transition series assignment help-homework help by online d block elements tutors
Correlation-Regression and covariance tutorial all along with the key concepts of calculating simple linear correlation, computing simple linear regression, Scatter diagram, Correlation and Regression, Spurious Correlation and Covariance
Theory and lecture notes of Structure of Principal-Agent Models all along with the key concepts of Elements of the Agency Problem, Efficiency Wage Theory, Franchising. Tutorsglobe offers homework help, assignment help and tutor’s assistance on structure of principal-agent models.
tutorsglobe.com catabolism of proteins assignment help-homework help by online energy and enzymes tutors
www.tutorsglobe.com offers Declarative Language homework help, assignment help, case study, writing homework help, online tutoring assistance by computer science tutors.
tutorsglobe.com properties of lead assignment help-homework help by online lead tutors
Theory and lecture notes of The QR Method all along with the key concepts of the qr method, linear algebra, assignment help, homework help. Tutorsglobe offers homework help, assignment help and tutor’s assistance on The QR Method.
Theory and lecture notes of Turing machines: concepts, varieties and simulation all along with the key concepts of Non-deterministic TM, Example of a simulation, Universal TM, Duplicate a bit string. Tutorsglobe offers homework help, assignment help and tutor’s assistance on Turing machines.
1933891
Questions Asked
3689
Tutors
1480528
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!