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2 years ago

NEED HELP ASAP!

Mathematics

1 answer:

galina1969 [7]2 years ago

6 0

9514 1404 393

Answer:

lamp: $80
end table: $140

Step-by-step explanation:

If we let x and y represent the costs of a lamp and end table, respectively, the two purchases can be written as ...

3x +2y = 520

2x -y = 20

These equations can be solved many ways. If we use "elimination", we can add twice the second equation to the first to eliminate y:

(3x +2y) +2(2x -y) = (520) +2(20)

7x = 560 . . . . simplify

x = 80 . . . . . . divide by 7

y = 2x -20 = 2(80) -20 = 140

The cost of a lamp is $80; the cost of an end table is $140.

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