SYSTEM OF EQUATIONS

May 28th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

1. Problem: Solve the following system:x + y = 11 3x - y = 5 Solution: Solve the first equation for y (you could solve for x - it doesn't matter) y = 11 - x Now, substitute 11 - x in the second equation.

Word Count: 3866
Showing Page: 1/16
SYSTEM OF EQUATIONS1. Problem: Solve the following system: x + y = 11 3x - y = 5 Solution: Solve the first equation for y (you could solve for x - it doesn't matter). y = 11 - x Now, substitute 11 - x for y in the second equation. This gives the equation one variable, which earlier algebra work has taught you how to do. 3x - (11 - x) = 5 3x - 11 + x = 5 4x = 16 x = 4 Now, substitute 4 for x in either equation and solve for y. (We use the first equation below.) 4 + y = 11 y = 7 The solution is the ordered pair, (4, 7).The last method, addition, is probably the most complicated, but is necessary when dealing with more complex systems, such as systems with three or more variables. The idea behind the addition method is to replace an equation with a combination of the equations in the system. To obtain such a combination, you multiply each equation by a constant and add. You choose the constants so that the resulting coefficient of one of the variables will be 0. Example:2. Problem: Solve the following system: 5x + 3y = 7 3x - 5y = -23 Solution: Multiply the second equation by 5

Review from student

Studypool Student
" all I can say is wow very fast work, great work thanks "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1821 tutors are online

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