# algebra

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Ticket Prices Two hundred tickets were sold for a
baseball game, which amounted to \$840. Student
tickets cost \$3, and adult tickets cost \$5.
(a) Let x be the number of student tickets sold and y
be the number of adult tickets sold. Write a system
of linear equations whose solution gives the
number of each type of ticket sold.
(b) Use the method of substitution to solve the system.

• algebra -

x + y = 200
3 x + 5 y = 840
so
y = (200-x)
substitute (200-x) for y
3 x + 5 (200-x) = 840

3 x + 1000 - 5 x = 840

2 x = 160
x = 80
y = 120

• algebra -

Can you explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Can there be more than one way to factor a problem like this? can you please show it in written word and step by step?

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