A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 20 boxes of the cerea were sold. In the next week, 53 boxes of the cereal were sold and in the third week 86 boxes of the cereal were sold. The number of
boxes of cereal sold each week represents an arithmetic sequence.
What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?

the answer

b. they are parallel and will never intersect.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

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