Johann and marta shopped at a vintage toy store. johann bought 3 blue marbles and 5 green marbles and paid $11. marta bought 4 blue marbles and 2 green marbles and paid $10. which system of equations can be used to find the prices of the blue and green marbles? me

The system of equations which can be used to find the prices of blue and green marbles : 3·x + 5·y = 11  and  4·x + 2·y = 10

Step-by-step explanation:

Let the price of blue marble be $x and the price of green marble be y

Number of blue marbles bought by Johann = 3

Number of green marbles bought by Johann = 5

Total amount paid by Johann = $11

So, The equation for this is given by :

3·x + 5·y = 11 (1)

Number of blue marbles bought by Martha = 4

Number of green marbles bought by Martha = 2

Total amount paid by Johann = $10

So, The equation for this is given by :

4·x + 2·y = 10 (2)

Thus, The system of equations which can be used to find the prices of blue and green marbles : 3·x + 5·y = 11  and  4·x + 2·y = 10

x = 3 ± √(5+y)