Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 5 → (1)
7x - 5y = 2 → (2)
Multiplying (1) by 5 and (2) by 3 and adding will eliminate the y- term
10x + 15y = 25 → (3)
21x - 15y = 6 → (4)
Add (3) and (4) term by term to eliminate y
31x = 31 ( divide both sides by 31 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(1) + 3y = 5
2 + 3y = 5 ( subtract 2 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
Solution is (1, 1 )
First set both equations equal to y
y = -1/2x + 3
y = 3x - 4
Then set these two equal because they both equal y
-1/2x + 3 = 3x + 4
Combine like terms and solve
7 = 3.5x
x = 2
y also = 2 when you plug it back in
Therefore, (2,2)
<span>P(at least 1 ) = 1 - P(exactly none) = 1 - (4/5)^6 = .738
Hope this helps!!!:)</span>
