Answer:
The input have to be -9 to get output 214 with the rule y=-15x+79
Step-by-step explanation:
x is the input, y is the output so:
214 = -15x + 79
214 - 79 = -15x
15x = -135
x = -9
To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90
2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10
Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b
2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10
3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100
-------
Answer: The numbers are 100 and 10</span>
Cross multiplying we get
x^2 = 2*7x
x^2 = 14x
x^2 - 14x = 0 is the answer
First, we can simplify it down.
x = (-x + 6)^2
Then, you should have x - (

- 12x + 36).
Factor it to get x = 4 or 9. 4 works in the original equation but 9 does not.