Question

Help me PLEASE- Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks..

Answer 1

• One booster pack is worth 9 cards and one premade deck is worth 37 cards.

Explanation:

We know that:

• 9x + 7y = 340 cards
• 4x + y = 73 cards
• y = Cost of premade decks (In cards)
• x = Cost of booster packs (In cards)

Work:

• 9x + 7y = 340 cards

4x + y = 73 cards

• 4(9x + 7y = 340 cards)

9(4x + y = 73 cards)

• 36x + 28y = 340 x 4 cards

36x + 9y = 73 x 9 cards

• 19y = 1360 - 657
• 19y = 703
• y = 703/19 = 37

This means that 1 premade deck is worth 37 cards. Now, let's substitute the value of y into the first equation to find x.

• 9x + 7y = 340 cards
• => 9x + 7(37) = 340 cards
• => 9x + 259 = 340 cards
• => 9x = 81 cards
• => x = 9 cards

Hence, one booster pack is worth 9 cards and one premade deck is worth 37 cards.

Hoped this helped.

`BrainiacUser1357`