Answer:
14b
Step-by-step explanation:
Make one of the variables drop out.
I'd go for the y since it's easiest in this problem.
Time the top equation by -1.
This changes the system to:
![2x + - y = 1](https://tex.z-dn.net/?f=2x%20%2B%20-%20y%20%3D%201)
![- 4x + y = - 1](https://tex.z-dn.net/?f=%20-%204x%20%2B%20y%20%3D%20-%201)
Add the equations.
![2x + - 4x = - 2x](https://tex.z-dn.net/?f=2x%20%2B%20-%204x%20%3D%20-%202x)
![- y + y = 0](https://tex.z-dn.net/?f=%20-%20y%20%2B%20y%20%3D%200)
![1 + - 1 = 0](https://tex.z-dn.net/?f=1%20%2B%20-%201%20%3D%200)
The equation would be:
![- 2x + 0 = 0](https://tex.z-dn.net/?f=%20-%202x%20%2B%200%20%3D%200)
Or simply:
![- 2x = 0](https://tex.z-dn.net/?f=%20-%202x%20%3D%200)
Solve for x by dividing.
![x = 0 \div - 2](https://tex.z-dn.net/?f=x%20%3D%200%20%5Cdiv%20-%202)
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
Then, plug x into one of the original equations to find y.
I'm going to use the first one since the numbers are smaller, but you CAN use either.
![- 2(0) + y = 1](https://tex.z-dn.net/?f=%20-%202%280%29%20%2B%20y%20%3D%201)
![0 + y = 1](https://tex.z-dn.net/?f=0%20%2B%20y%20%3D%201)
![y = 1](https://tex.z-dn.net/?f=y%20%3D%201)
Put these into an ordered pair.
(0,1)
That is your answer.
Hope this helped!
:)
Answer:
Factored form...
Step-by-step explanation:
Foil out (x-4)(x+2)=16
First: x*x=![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
Outer: 2*x=2x
Inner: -4*x = -4x
Last: -4*2 = -8
Combine them all:
![x^2+2x-4x-8=16](https://tex.z-dn.net/?f=x%5E2%2B2x-4x-8%3D16)
Simplify:
![x^2-2x-8=16\\x^2-2x-24=0](https://tex.z-dn.net/?f=x%5E2-2x-8%3D16%5C%5Cx%5E2-2x-24%3D0)
What multiplies together to make -24 but adds together to make -2?
Lets list the factors of -24 to decide:
1 x -24
2 x -12
3 x -8
4 x -6
-6+4 = -2
Therefore...
![(x-6)(x+4)=0](https://tex.z-dn.net/?f=%28x-6%29%28x%2B4%29%3D0)
Https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.798537.html
I imagine this is a sort of riddle or joke. The answer which I have
always seen given in the past is that the reason someone who runs down
ponies will get a sort throat is because they are always feeling a
little horse/hoarse.' Hopefully this is the answer you're looking for,
admittedly this question is a little unusual for math homework!