solve the following systems of equations and in case of infinitely many solutions, give 3 examples. For each part, explain what the system represents geometrically: a) 5x – 7y + 14 = 15 3x – 4y +8 = 9 b) 5x – 3y +9 = 0 20x – 12y + 12 = 0 c) 3x + 2y +1 = 0 12x + 8y +4 = 0

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter6: Exponential Functions And Sequences
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Jolve the following systems of equations and in case of infinitely many solutions, give 3
examples. For each part, explain what the system represents geometrically:
a) 5x – 7y + 14 = 15
3x – 4y + 8 = 9
b) 5x – 3y +9 = 0
20x – 12y + 12 = 0
c) 3x + 2y +1= 0
12x + 8y + 4 = 0
Transcribed Image Text:Jolve the following systems of equations and in case of infinitely many solutions, give 3 examples. For each part, explain what the system represents geometrically: a) 5x – 7y + 14 = 15 3x – 4y + 8 = 9 b) 5x – 3y +9 = 0 20x – 12y + 12 = 0 c) 3x + 2y +1= 0 12x + 8y + 4 = 0
NONLINEAR SYSTEMS
By a nonlinear system, we mean a set of two equations, at least one of which
is not linear. Solving a system is to find (x, y) pair, which satisfies both
equations in the system.
We concentrate on systems consisting of one linear and one quadratic
equations
To solve such nonlinear system,
1. Use elimination by addition or substitution method as in the linear systems.
2. Remove or isolate the linear term not the quadratic term.
3. Solve the quadratic equation for the remaining variable.
4. Then find the other unknown.
Transcribed Image Text:NONLINEAR SYSTEMS By a nonlinear system, we mean a set of two equations, at least one of which is not linear. Solving a system is to find (x, y) pair, which satisfies both equations in the system. We concentrate on systems consisting of one linear and one quadratic equations To solve such nonlinear system, 1. Use elimination by addition or substitution method as in the linear systems. 2. Remove or isolate the linear term not the quadratic term. 3. Solve the quadratic equation for the remaining variable. 4. Then find the other unknown.
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