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2 years ago

Use elimination to solve each system.

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

7 0

Answer:

$3 and $2

Step-by-step explanation:

let p represent popcorn and d drinks , then

2p + 3d = 12 → (1)

3p + 5d = 19 → (2)

multiplying (1) by 3 and (2) by - 2 and adding will eliminate p

6p + 9d = 36 → (3)

- 6p - 10d = - 38 → (4)

add (3) and (4) term by term to eliminate p

0 - d = - 2

- d = - 2 ( multiply both sides by - 1 )

d = 2

substitute d = 2 into either of the 2 equations and solve for p

substituting into (1)

2p + 3(2) = 12

2p + 6 = 12 ( subtract 6 from both sides )

2p = 6 ( divide both sides by 2 )

p = 3

Popcorn costs $3 and a drink costs $2

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3 years ago

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3 years ago

Four times the amount of money in my bank account plus $200 is still two

ioda

Answer:

$700

Step-by-step explanation:

So, I like to extract the information we know and form it into an equation.

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3 years ago

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3 years ago

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