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10 June, 18:09

A discount store is selling 5 small tables with 8 chairs for $115. Three tables with 5 chairs cost $70.

1)

Which system of linear equations could be used to find the cost of each table (x) and the cost of each chair (y) ?

A) 3x + 8y = $70; 8x + 3y = $115

B) 5x + 8y = $115; 3x + 5y = $70

C) 5x + 8y = $115; 2x - 5y = $70

D) 8x + 5y = $115; 5x + 3y = $70

2)

Determine the cost of each table (x) and the cost of each chair (y).

A) x = $15; y = $5

B) x = $10; y = $5

Eliminate

C) x = $5; y = $10

D) x = $12; y = $3

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Answers (2)
  1. 10 June, 19:26
    0
    First one is A and the second one is B
  2. 10 June, 20:24
    0
    1) B and 2) A

    Step-by-step explanation:

    40x+25y=575

    -40x-24y=-560

    adding

    y=15

    5x+3 (15) = 70

    then

    5x+45=70

    5x=25

    x=5

    Answer: x=5 and y=15
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