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Answer:
C. x = 3, y = -6
Step-by-step explanation:
You can divide the second equation by 2. Then you have ...
x +2y = -9
This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:
(x +2y) -(x -2y) = (-9) -(15)
4y = -24 ⇒ y = -6
Adding the two equations eliminates y:
(x -2y) +(x +2y) = (15) +(-9)
2x = 6 ⇒ x = 3
The solution is (x, y) = (3, -6).
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<em>Additional comment</em>
I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).
As a coach for the local soccer team, you want your team to score a goal in the next big game. You look back on last year's stats to make a prediction, with the data shown below the complete table will be
- P(0)=2/12
- P(1)= 4/12
- P(3)= 2/12
- P(2)= 2/12
- P(4)= 2/12
Generally, the equation for the probabilities is mathematically given as
For 1 goal
P(1)= 4/12
For 2 goal
P(2)= 2/12
For 3 goal
P(3)= 2/12
For 4 goal
P(4)= 2/12
In conclusion,
- P(0)=2/12
- P(1)= 4/12
- P(3)= 2/12
- P(2)= 2/12
- P(4)= 2/12
Read more about Binomial Distribution
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