1 answer:
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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:
The break-even sales amounts is 36 or 224.
Step-by-step explanation:
Consider the provided function.
Where x is the number of televisions sold (in hundreds) and P is the profit.
We need to calculate the break-even sales amounts.
the break-even sales amounts is the sales amounts that result in no profit or loss.
That means substitute P=0 and solve for x.
Substitute a=4, b=-13 and c=4 in above formula.
Therefore, the break-even sales amounts is 36 or 224.