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Answer:
(x, y) = (4, 1)
Step-by-step explanation:
The coefficients of x are the same, so we can cancel the x-terms by subtracting one equation from the other. We want to do this so the resulting y-coefficient will be positive. That means we want to subtract the second equation from the first:
(-2x +y) -(-2x -4y) = (-7) -(-12)
5y = 5 . . . . . . . . simplify
y = 1 . . . . . . . . divide by 5
-2x +1 = -7 . . . . . substitute for y in the first equation
-2x = -8 . . . . . subtract 1
x = 4 . . . . . . divide by -2
The solution is (x, y) = (4, 1).
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A graphing calculator easily verifies the solution.
Answer:
Step-by-step explanation:
Given
42% bulbs are fluorescent
23 % bulbs are long life
12% bulbs are fluorescent and long life
(i)Selected Bulb is not Fluorescent
(ii)Selected light bulb is fluorescent given that it is labelled as long life
b.Fluorescent and long life events are not independent because if a bulb is fluorescent then it may be long life