In negotiations between a company and its employees, it is estimated that there is a 40% chance that an agreement will be reached on the insurance benefits, and there is a 65% chance that there will be an agreement on a retirement plan. There is a 25% chance that no agreement will be reached on either issue. Part A: Find the probability that an agreement will be reached on both issues.

answer is 17

a

step-by-step explanation:

given the 2 equations

- x + y = - 2 → (1)

2x - 3y = 4 → (2)

multiplying (1) by 2 and adding to (2) will eliminate the x- term

- 2x + 2y = - 4 → (3)

add (2) and (3) term by term

(2x - 2x) + (- 3y + 2y) = (4 - 4), simplifying gives

- y = 0 ⇒ y = 0

substitute y = 0 in either of the 2 equations for corresponding value of x

substituting in (2) gives

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 0 ) → a