sulpcegu5e ppt 11_1
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Section 11.1
Systems of Linear Equations;
Substitution and Elimination
A movie theater sells tickets for $9.00 each, with seniors receiving a discount of $2.00. One evening the theater took in $4760 in revenue. If x represents the number of tickets sold at $9.00 and y the number of tickets sold at the discounted price of $7.00, write an equation that relates these variables.
Suppose that we also know that 600 tickets were sold that evening. Can you write another equation relating the variable x and y?
2 13Solve:
4 9 7
x y
x y
OBJECTIVE 1
2 13Solve:
4 9 7
x y
x y
OBJECTIVE 2
31
Solve: 2 816 3 28
yx
x y
A movie theater sells tickets for $9.00 each, with seniors receiving a discount of $2.00. One evening the theater sold 600 tickets and took in $4760 in revenue. How many of each type of ticket were sold?
OBJECTIVE 3
3 6 12Solve:
2 7
x y
x y
OBJECTIVE 4
6 4 8Solve:
9 6 12
x y
x y
OBJECTIVE 5
Use the method of elimination to solve the system of equations.2 4
3 2 2 102 3 7
x y zx y z
x y z
OBJECTIVE 6
2 3 0Solve: 2 5
3 4 1
x y zx y zx y z
OBJECTIVE 7
2 1Solve: 2 2
4 5 4
x y zx y zx y z
Find real numbers a, b, and c so that the graph of the quadratic function y = ax2 + bx+ c contains the points (– 2, 13), (0, 1) and (– 2, 3).