The equation in required form is: -x+2y = 12
Step-by-step explanation:
Given equation is:
![y = \frac{1}{2}x+6](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2B6)
In order to convert the equation in ![Ax+By = C](https://tex.z-dn.net/?f=Ax%2BBy%20%3D%20C)
Multiplying both sides by 2
![2y = \frac{1}{2}x * 2 + 6*2\\2y = x + 12](https://tex.z-dn.net/?f=2y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2A%202%20%2B%206%2A2%5C%5C2y%20%3D%20x%20%2B%2012)
subtracting x from both sides
![2y-x = x-x+12\\2y-x = 12\\-x+2y = 12](https://tex.z-dn.net/?f=2y-x%20%3D%20x-x%2B12%5C%5C2y-x%20%3D%2012%5C%5C-x%2B2y%20%3D%2012)
Hence,
The equation in required form is: -x+2y = 12
Keywords: Linear equation, slope
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2log7 - 2r = 0
1.690196080 - 2r = 0
<u>-1.690196080 -1.690196080</u>
<u>-2r</u> = <u>-1.690196080</u>
-2 -2
r = 0.84509804
Answer: 19.65
Step-by-step explanation:
all you need to do is add 850.99 and 129.36 to get 980.35
then subtract 980.35 and 1000 and you get your answer
Answer:
![\boxed{c = 49.99n + 499.00}](https://tex.z-dn.net/?f=%5Cboxed%7Bc%20%3D%2049.99n%20%2B%20499.00%7D)
Step-by-step explanation:
![\begin{array}{rcl}c& = & \text{total cost}\\n & = & \text{number of games}\\49.99n & = & \text{cost of games}\\499.00 & = & \text{cost of computer}\\49.99n + 499.00 & = & \text{total cost}\\c & = & \mathbf{49.99n + 499.00}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7Dc%26%20%3D%20%26%20%5Ctext%7Btotal%20cost%7D%5C%5Cn%20%26%20%3D%20%26%20%5Ctext%7Bnumber%20of%20games%7D%5C%5C49.99n%20%26%20%3D%20%26%20%5Ctext%7Bcost%20of%20games%7D%5C%5C499.00%20%26%20%3D%20%26%20%5Ctext%7Bcost%20of%20computer%7D%5C%5C49.99n%20%2B%20499.00%20%26%20%3D%20%26%20%5Ctext%7Btotal%20cost%7D%5C%5Cc%20%26%20%3D%20%26%20%5Cmathbf%7B49.99n%20%2B%20499.00%7D%5C%5C%5Cend%7Barray%7D)
![\text{The expression for how much to spend is $\boxed{\mathbf{c = 49.99n + 499.00}}$}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20expression%20for%20how%20much%20to%20spend%20is%20%24%5Cboxed%7B%5Cmathbf%7Bc%20%3D%2049.99n%20%2B%20499.00%7D%7D%24%7D)