The solution is (x, y) = (5, 16). My "work" is to make use of a graphing calculator.
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You can subtract the second equation from the first. This gives
... 0 = 3x -15
Then, divide by 3 and add 5.
... 0 = x - 5
... 5 = x
Substitute this value into either equation to find y.
... y = 2x +6
... y = 2·5 +6
... y = 16
The strategy to subtract the second equation from the first is based on the observation that both equations give expressions for y, and the x-coefficient in the first equation is the larger of the two x-coefficients. Thus, the subtraction we chose will eliminate y and give an x-term with a positive coefficient.
Answer:
Step-by-step explanation:
Given : Let c represents the number of boxes of chocolate chip cookies and b represents the boxes for butter cookies.
Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each.
i.e. Cost of 'c' chocolate chip cookies = 6c
Cost of b butter cookies = 7b
She must sell at least 30 boxes of cookies and at least $175 worth of cookies.
i.e.
Thus , the system of inequalities models this situation :
Answer:
Perimeter = 1 unit
Step-by-step explanation:
Answer:
Step-by-step explanation:
So we have the function:
To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:
Switch:
Add 1 to both sides:
Divide both sides by 6:
And that's our answer :)