Answer:
75%
Step-by-step explanation: i know the answer
Four hundred thirty six and three tenths.
1) (x,y) = no solution
2) x=-2y
-2y-y = 9
-3y = 9
y = -3
x = -2(-3)
x = 6
(x,y) = (6,-3)
Answer: ![\Large\boxed{\text{Two Points}}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B%5Ctext%7BTwo%20Points%7D%7D)
Step-by-step explanation:
<u>Given a system of equation</u>
![1)~y=2x+5](https://tex.z-dn.net/?f=1%29~y%3D2x%2B5)
![2)~y=x^2-2x-7](https://tex.z-dn.net/?f=2%29~y%3Dx%5E2-2x-7)
<u>Substitute the 2) equation for the y value of the 1) equation</u>
![2x+5=x^2-2x-7](https://tex.z-dn.net/?f=2x%2B5%3Dx%5E2-2x-7)
<u>Subtract [ 2x + 5 ] on both sides</u>
![2x+5-(2x+5)=x^2-2x-7-(2x+5)](https://tex.z-dn.net/?f=2x%2B5-%282x%2B5%29%3Dx%5E2-2x-7-%282x%2B5%29)
![x^2-2x-7-2x-5=0](https://tex.z-dn.net/?f=x%5E2-2x-7-2x-5%3D0)
![x^2-4x-12=0](https://tex.z-dn.net/?f=x%5E2-4x-12%3D0)
<u>Cross multiply the equation</u>
![x~~~~~~~~~~~~~~~-6](https://tex.z-dn.net/?f=x~~~~~~~~~~~~~~~-6)
![x~~~~~~~~~~~~~~~2](https://tex.z-dn.net/?f=x~~~~~~~~~~~~~~~2)
![(x-6)(x+2)=0](https://tex.z-dn.net/?f=%28x-6%29%28x%2B2%29%3D0)
![x=6~\text{or}~x=-2](https://tex.z-dn.net/?f=x%3D6~%5Ctext%7Bor%7D~x%3D-2)
Since there are 2 x values, this represents that there are
intersecting points
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<em>The following is EXTRA information for the question if you need to find the points of intersection</em>
<u>Substitute the x values into one of the equations to find the y value</u>
![\text{When}~x=6:](https://tex.z-dn.net/?f=%5Ctext%7BWhen%7D~x%3D6%3A)
![y=2x+5](https://tex.z-dn.net/?f=y%3D2x%2B5)
![y=2(6)+5](https://tex.z-dn.net/?f=y%3D2%286%29%2B5)
![y=12+5](https://tex.z-dn.net/?f=y%3D12%2B5)
![y=17](https://tex.z-dn.net/?f=y%3D17)
![\large\boxed{(6,17)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%286%2C17%29%7D)
![\text{When}~x=-2:](https://tex.z-dn.net/?f=%5Ctext%7BWhen%7D~x%3D-2%3A)
![y=2x+5](https://tex.z-dn.net/?f=y%3D2x%2B5)
![y=2(-2)+5](https://tex.z-dn.net/?f=y%3D2%28-2%29%2B5)
![y=-4+5](https://tex.z-dn.net/?f=y%3D-4%2B5)
![y=1](https://tex.z-dn.net/?f=y%3D1)
![\large\boxed{(2,~1)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%282%2C~1%29%7D)
<u>Graph the equations to check the solutions</u>
Please refer to the attachment below for the graph