Just divide 300 by 450, to get 0.66667, which can be expressed as a fraction by 2/3
Answer:
Step-by-step explanation:
y = -2x + 5 ⇒ 2x + y = 5
6x + 3y = 15 ⇒ 2x + y = 5
The two equations are equivalent, so there are infinitely many solutions.
Just plug in a 4 wherever you see a k.
5*4+6 (multiply first)
20+6
So the answer is 26
Answer:
![\begin{array}{cc}x&y\\ \\-2&-1\\0&-2\\2&-3\\6&-5\\9&-6.5\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5C%5C%20%5C%5C-2%26-1%5C%5C0%26-2%5C%5C2%26-3%5C%5C6%26-5%5C%5C9%26-6.5%5Cend%7Barray%7D)
Step-by-step explanation:
Given:
![y=-\dfrac{1}{2}x-2](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7Dx-2)
First, find y for given x:
When x = 0, then
![y=-\dfrac{1}{2}\cdot 0-2\\ \\y=-2](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%200-2%5C%5C%20%5C%5Cy%3D-2)
When x = 6, then
![y=-\dfrac{1}{2}\cdot 6-2\\ \\y=-3-2\\ \\y=-5](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%206-2%5C%5C%20%5C%5Cy%3D-3-2%5C%5C%20%5C%5Cy%3D-5)
When x = 9, then
![y=-\dfrac{1}{2}\cdot 9-2\\ \\y=-4.5-2\\ \\y=-6.5](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%209-2%5C%5C%20%5C%5Cy%3D-4.5-2%5C%5C%20%5C%5Cy%3D-6.5)
Now find x for given y:
When y = -1, then
![-1=-\dfrac{1}{2}x-2\\ \\-1+2=-\dfrac{1}{2}x\\ \\1=-\dfrac{1}{2}x\\ \\-2=x\\ \\x=-2](https://tex.z-dn.net/?f=-1%3D-%5Cdfrac%7B1%7D%7B2%7Dx-2%5C%5C%20%5C%5C-1%2B2%3D-%5Cdfrac%7B1%7D%7B2%7Dx%5C%5C%20%5C%5C1%3D-%5Cdfrac%7B1%7D%7B2%7Dx%5C%5C%20%5C%5C-2%3Dx%5C%5C%20%5C%5Cx%3D-2)
When y = -3, then
![-3=-\dfrac{1}{2}x-2\\ \\-3+2=-\dfrac{1}{2}x\\ \\-1=-\dfrac{1}{2}x\\ \\2=x\\ \\x=2](https://tex.z-dn.net/?f=-3%3D-%5Cdfrac%7B1%7D%7B2%7Dx-2%5C%5C%20%5C%5C-3%2B2%3D-%5Cdfrac%7B1%7D%7B2%7Dx%5C%5C%20%5C%5C-1%3D-%5Cdfrac%7B1%7D%7B2%7Dx%5C%5C%20%5C%5C2%3Dx%5C%5C%20%5C%5Cx%3D2)
So, the table is
![\begin{array}{cc}x&y\\ \\-2&-1\\0&-2\\2&-3\\6&-5\\9&-6.5\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5C%5C%20%5C%5C-2%26-1%5C%5C0%26-2%5C%5C2%26-3%5C%5C6%26-5%5C%5C9%26-6.5%5Cend%7Barray%7D)
33 and 100 are correct. Both are greater than 32