Systems of Linear Equations

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Systems of Linear Equations

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A movie theater sells tickets for $8.00 each, with seniors receiving a discount of $2.00. One ... Give the x- and y- coordinates to the nearest hundredth ... – PowerPoint PPT presentation

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Title: Systems of Linear Equations


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Section 7.1 Systems of Linear Equations
Substitution and Elimination
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A movie theater sells tickets for 8.00 each,
with seniors receiving a discount of 2.00. One
evening the theater took in 3580 in revenue. If
x represents the number of tickets sold at 8.00
and y the number of tickets sold at the
discounted price of 6.00, write an equation that
relates these variables.
Suppose we also know that 525 tickets were sold.
Write another equation relating the variables x
and y.
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Nonlinear Systems
  • A nonlinear system of equations is a system in
    which at least one of the equations is not linear
    equation.
  • Example

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Solve the system graphically.
Give the x- and y- coordinates to the nearest
hundredth
Solution ( -1.68, -1.78), (2.12, -1.24)
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Section 7.2 Linear Systems in Three Variables
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