Solve this linear system by graphing
x-y=6
2x=12+2y
1 answer:
You need to isolate the variables. For the first equation add x to both sides, which leaves you with y.
For the second equation, divide each side by 2 leaving you with
x= 6+y. Subtract y from each side. Subtract x from both sides. Now you have y= x + 6.
Now graph those equations.
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Answer:
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Step-by-step explanation:
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now guess and check the 3 consecutive odd numbers that work
Given
![w = xe^{y/z},\ x = t^7,\ y = 4 - t, \ z = 2 + 9t \\ \\ \frac{dw}{dt} = \frac{dw}{dx} \cdot \frac{dx}{dt} + \frac{dw}{dy} \cdot \frac{dy}{dt} + \frac{dw}{dz} \cdot \frac{dz}{dt} \\ \\ \frac{dw}{dx}=e^{y/z} \\ \\ \frac{dw}{dy}= \frac{x}{z} e^{y/z} \\ \\ \frac{dw}{dz}=- \frac{xy}{z^2} e^{y/z} \\ \\ \frac{dx}{dt}=7t^6 \\ \\ \frac{dy}{dt}=-1 \\ \\ \frac{dz}{dt}=9](https://tex.z-dn.net/?f=w%20%3D%20xe%5E%7By%2Fz%7D%2C%5C%20x%20%3D%20t%5E7%2C%5C%20y%20%3D%204%20-%20t%2C%20%5C%20z%20%3D%202%20%2B%209t%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdw%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bdw%7D%7Bdx%7D%20%5Ccdot%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%2B%20%5Cfrac%7Bdw%7D%7Bdy%7D%20%5Ccdot%20%5Cfrac%7Bdy%7D%7Bdt%7D%20%2B%20%5Cfrac%7Bdw%7D%7Bdz%7D%20%5Ccdot%20%5Cfrac%7Bdz%7D%7Bdt%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bdw%7D%7Bdx%7D%3De%5E%7By%2Fz%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bdw%7D%7Bdy%7D%3D%20%5Cfrac%7Bx%7D%7Bz%7D%20e%5E%7By%2Fz%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bdw%7D%7Bdz%7D%3D-%20%5Cfrac%7Bxy%7D%7Bz%5E2%7D%20e%5E%7By%2Fz%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bdx%7D%7Bdt%7D%3D7t%5E6%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bdy%7D%7Bdt%7D%3D-1%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bdz%7D%7Bdt%7D%3D9)
Thus,