Step-by-step explanation:
For y/x to be as high as possible, y must have the highest possible value and x must have the lowest possible value. (12 and 6)
Hence, y/x < 12/6, which is 2.
For y/x to be as low as possible, y must have the lowest possible value and x must have the highest possible value (10 and 7)
Hence, y/x > 10/7.
Combining the 2 inequalities, we have 10/7 < y/x < 2.
Please refer to my image where it shows my work as I’m explaining.
Okay, for system 1:
1. I am using the elimination method to solve. So I check if all the terms are lined up and if any are the same. I found that 2X are common in both equations.
2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.
3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.
FOR SYSTEM 2:
1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.
2. Now that I have terms in common I can choose to add or subtract. I chose subtraction because 2-2 equals zero which is what we want. Solve look at image for my process which lead to X = -8
3. Last step is to find the value of Y. Chose any of the given equations in system 2 then substitute x with -8. Refer to image to see process. It lead to y = 20
To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!
Answer:
-3-4x
Step-by-step explanation:
Answer:
Small candies 
Extra large candies 
Step-by-step explanation:
Let small candies 
Extra large candies 
the number of candies is at least
.

Cost of
small candy 
Cost of
extra large candy 
but she has only
to spend

Solve for

Since number of candies should be integer.
let 
total spend
which is more than
, so this combination is not possible.

She has
more so she can buy
more small candy.
Hence small candy 
extra large candy 