Answer:
![x=2; y=1](https://tex.z-dn.net/?f=x%3D2%3B%20y%3D1)
Step-by-step explanation:
Let's remember that if we replace one equation in a system with a linear combination of the equations (ie adding or subtracting them together, after multiplying them with some nice numbers) we are left with an equivalent system. So let's add and subtract them together, and use the new equations to work with.
![I+II: 2x+2y=6\\I-II:200x-200y=200](https://tex.z-dn.net/?f=I%2BII%3A%202x%2B2y%3D6%5C%5CI-II%3A200x-200y%3D200)
Better, now let's simplify the expression and let's use the new system
![x+y=3\\x-y=1](https://tex.z-dn.net/?f=x%2By%3D3%5C%5Cx-y%3D1)
Done. At this point you can use whatever method you like to solve the system to get to the final solution. Adding and subtracting works great, and you get
which, if you check by replacing in the original, is indeed a valid solution.
Answer:
down below.
Step-by-step explanation:
straight lines are always 180.
![x+34+2x+2=180\\3x+36=180\\3x+36-36=180-36\\3x=144\\3x/3=144/3\\x=48](https://tex.z-dn.net/?f=x%2B34%2B2x%2B2%3D180%5C%5C3x%2B36%3D180%5C%5C3x%2B36-36%3D180-36%5C%5C3x%3D144%5C%5C3x%2F3%3D144%2F3%5C%5Cx%3D48)
In order for a relation to be a function, each x value must have no more than 1 corresponding y value.
Remember that the x values are the ones on the left in an ordered pair. Because each one is unique, the relation is a function in this case.
Final answer: B
Answer:
![(4k^2+7)(7k-6)](https://tex.z-dn.net/?f=%284k%5E2%2B7%29%287k-6%29)
Step-by-step explanation:
Factor each half of the expression separately:
![4k^2(7k-6)+7(7k-6)](https://tex.z-dn.net/?f=4k%5E2%287k-6%29%2B7%287k-6%29)
Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:
![(4k^2+7)(7k-6)](https://tex.z-dn.net/?f=%284k%5E2%2B7%29%287k-6%29)