Respuesta :
Another bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 649, and Frank says that the probability will be17 . Who is correct?
Answer:
(5, 2 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 16 → (1)
6x - 5y = 20 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 48 → (3)
Add (2) and (3) term by term to eliminate x
0 - 14y = - 28
- 14y = - 28 ( divide both sides by - 14 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(2) = 16
2x + 6 = 16 ( subtract 6 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
solution is (5, 2 )
