Answer:
find the common factor
Step-by-step explanation:
1)13
2) 13(1+5)
Answer:
<h2>x = 1, y = -1, z = 2 → (1, -1, 2)</h2>
Step-by-step explanation:
![\left\{\begin{array}{ccc}x+y+z=2&(1)\\2x+y-z=-1&(2)\\x=5-2z&(3)\end{array}\right\\\\\text{Substitute (3) to (1) and (2):}\\\\\left\{\begin{array}{ccc}(5-2z)+y+z=2\\2(5-2z)+y-z=-1&\text{use the distributive property}\end{array}\right\\\left\{\begin{array}{ccc}5-2z+y+z=2\\10-4z+y-z=-1\end{array}\right\qquad\text{combine like terms}\\\left\{\begin{array}{ccc}5+y-z=2&\text{subtract 5 from both sides}\\10+y-5z=-1&\text{subtract 10 from both sides}\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%2By%2Bz%3D2%26%281%29%5C%5C2x%2By-z%3D-1%26%282%29%5C%5Cx%3D5-2z%26%283%29%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5Ctext%7BSubstitute%20%283%29%20to%20%281%29%20and%20%282%29%3A%7D%5C%5C%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D%285-2z%29%2By%2Bz%3D2%5C%5C2%285-2z%29%2By-z%3D-1%26%5Ctext%7Buse%20the%20distributive%20property%7D%5Cend%7Barray%7D%5Cright%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D5-2z%2By%2Bz%3D2%5C%5C10-4z%2By-z%3D-1%5Cend%7Barray%7D%5Cright%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D5%2By-z%3D2%26%5Ctext%7Bsubtract%205%20from%20both%20sides%7D%5C%5C10%2By-5z%3D-1%26%5Ctext%7Bsubtract%2010%20from%20both%20sides%7D%5Cend%7Barray%7D%5Cright)
![\left\{\begin{array}{ccc}y-z=-3\\y-5z=-11&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y-z=-3\\-y+5z=11\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad4z=8\qquad\text{divide both sides by 4}\\.\qquad\qquad \boxed{z=2}\\\\\text{Put it to the first equation:}\\\\y-2=-3\qquad\text{add 2 to both sides}\\\boxed{y=-1}\\\\\text{Put the values of}\ z\\text{to (3):}\\\\x=5-2(2)\\x=5-4\\\boxed{x=1}](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dy-z%3D-3%5C%5Cy-5z%3D-11%26%5Ctext%7Bchange%20the%20signs%7D%5Cend%7Barray%7D%5Cright%5C%5C%5Cunderline%7B%2B%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dy-z%3D-3%5C%5C-y%2B5z%3D11%5Cend%7Barray%7D%5Cright%7D%5Cqquad%5Ctext%7Badd%20both%20sides%20of%20the%20equations%7D%5C%5C.%5Cqquad%5Cqquad4z%3D8%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%204%7D%5C%5C.%5Cqquad%5Cqquad%20%5Cboxed%7Bz%3D2%7D%5C%5C%5C%5C%5Ctext%7BPut%20it%20to%20the%20first%20equation%3A%7D%5C%5C%5C%5Cy-2%3D-3%5Cqquad%5Ctext%7Badd%202%20to%20both%20sides%7D%5C%5C%5Cboxed%7By%3D-1%7D%5C%5C%5C%5C%5Ctext%7BPut%20the%20values%20of%7D%5C%20z%5C%5Ctext%7Bto%20%283%29%3A%7D%5C%5C%5C%5Cx%3D5-2%282%29%5C%5Cx%3D5-4%5C%5C%5Cboxed%7Bx%3D1%7D)
Answer:
Checkpoint B = (-9,5)
Step-by-step explanation:
Here is an image of the graph and coordinates.
Question #1's answer is 6,000,000 + 7,000 + 2000
Question #2's answer is 30,000,000 + 2,000,000 + 5,000 + 8
Hope that helps :)
I Would say it would be the Second Graph