I WILL GIVE BRAINLIEST!
Michael and Irene visit the pet store to buy some new things for their aquariums. Michael pays $10 for 4 new goldfish and one castle. Irene buys 4 new goldfish and 2 castles, which costs $16 altogether.

use elimination to solve the system...
Michael equation = 4x + y = 10
irenes equation = 4x + 2y = 16
what are the prices each fish and each castle?

Respuesta :

Answer:

fish 1 dollar

castle 6 dollars

Step-by-step explanation:

4x + y = 10

4x + 2y = 16

Multiply the first equation by -1

- 4x - y = -10

4x + 2y = 16

------------------------

0x  +y   = 6

y = 6

This means the castle costs 6 dollars

Substitute this into the first equation

4x+y =10

4x+6=10

Subtract 6 from each side

4x+6-6=10-6

4x=4

Divide by 4

4x/4=4/4

x=1

This means each fish costs 1 dollar

So x=1 the answer is 1