# Solution of the linear system of two equations in two unknowns by the Substitution method

Apr 15th, 2015
Studypool Tutor
Price: \$5 USD

Tutor description

Solution of the linear system of two equations in two unknowns by the Substitution method

Word Count: 901
Showing Page: 1/5
Solution of the linear system of two equations in two unknownsby the Substitution methodThis lesson describes the Substitution method for solving the linear system of twoequations with two unknowns.The method is to express one variable via another using one equation and then tosubstitute this expression into another equation. In this way you reduce the originalsystem of two equations with two unknowns to the single equation with one unknown.When this reduction is done, simplify the obtained equation and solve it.After completing this, back-substitute the found value to either of the original equationsand find the value of the remaining variable.Examples below show how this method works.Example 1Solve the system of equationsExpressfrom the first equation:.Substitute this to the second equation:.Simplify the last equation by collecting common terms and solve it for,,,,.Back-substitute this value of.to the first original equation::Simplify and solve this equation for.:Thus, the solution of the original system of equations is,.Now, check the calculated solution. Simply substitute the found values ofinto the original equations. You will getandfor the left side of the first equation, and this is identical to itsright side;for the left side of the second equation, and this is identical toits right side.The check shows that the solution is correct.Example 2Solve the system of equationsExpressfrom the second equation:.

## Review from student

Studypool Student
" AMAZING as always! "

1827 tutors are online

### Other Documents

04/15/2015
04/15/2015
04/15/2015
04/15/2015
04/15/2015
04/15/2015
04/15/2015
04/15/2015
04/15/2015
04/15/2015

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors