Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:
![y = \frac{ - \frac{1}{2} x + 2}{3} \\ y = - x + 9](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%202%7D%7B3%7D%20%20%5C%5C%20y%20%3D%20%20-%20x%20%2B%209)
Since both expressions are equal to y, you have to equal both expressions like this:
![\frac{ - \frac{ 1}{2}x + 2 }{3} = - x + 9](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%20-%20%5Cfrac%7B%201%7D%7B2%7Dx%20%2B%202%20%7D%7B3%7D%20%20%3D%20%20-%20x%20%2B%209)
Now you can solve the equation:
![- \frac{1}{2} x + 2 = 3( - x + 9) \\ - \frac{ 1}{2}x + 2 = - 3x + 27 \\ \\ - \frac{1}{2} x + 3x = 27 - 2 \\ \frac{5}{2} x = 25 \\ x = \frac{(25)(2)}{5} \\ x = 10](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%202%20%3D%203%28%20-%20x%20%2B%209%29%20%5C%5C%20%20%20-%20%5Cfrac%7B%201%7D%7B2%7Dx%20%20%2B%202%20%3D%20%20-%203x%20%2B%2027%20%5C%5C%20%20%5C%5C%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%203x%20%3D%2027%20-%202%20%5C%5C%20%20%20%5Cfrac%7B5%7D%7B2%7D%20x%20%3D%2025%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%2825%29%282%29%7D%7B5%7D%20%20%5C%5C%20x%20%3D%2010)
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result
![y = - (10) + 9 \\ y = - 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%2810%29%20%2B%209%20%5C%5C%20y%20%3D%20%20-%201)
So, the answer is x=10 and y=-1
Answer:
y=-|x+1|+1
Step-by-step explanation:
It's an absolute value function vertically flipped and shifted 1 unit to the left, 1 unit to the the top.
percent increase = (new -original)/original
= (1200-550)/550
650/550
=1 100/550
1 2/11
1.181818
118.18 percent
to the nearest whole number
118 %
A) Reflection because each vertex and the images are the same distance from the y-axis