Answer:
The solution to the system of equations be:
![y=-3,\:x=2](https://tex.z-dn.net/?f=y%3D-3%2C%5C%3Ax%3D2)
Step-by-step explanation:
Given the system of equations
![\begin{bmatrix}y=3x-9\\ y=-2x+1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dy%3D3x-9%5C%5C%20y%3D-2x%2B1%5Cend%7Bbmatrix%7D)
Let us solve the system by the elimination method
![\begin{bmatrix}y=3x-9\\ y=-2x+1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dy%3D3x-9%5C%5C%20y%3D-2x%2B1%5Cend%7Bbmatrix%7D)
Arrange equation variables for elimination
![\begin{bmatrix}y-3x=-9\\ y+2x=1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dy-3x%3D-9%5C%5C%20y%2B2x%3D1%5Cend%7Bbmatrix%7D)
subtracting the equations
![y+2x=1](https://tex.z-dn.net/?f=y%2B2x%3D1)
![-](https://tex.z-dn.net/?f=-)
![\underline{y-3x=-9}](https://tex.z-dn.net/?f=%5Cunderline%7By-3x%3D-9%7D)
![5x=10](https://tex.z-dn.net/?f=5x%3D10)
so the system of equations becomes
![\begin{bmatrix}y-3x=-9\\ 5x=10\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dy-3x%3D-9%5C%5C%205x%3D10%5Cend%7Bbmatrix%7D)
solve 5x for x
![5x=10](https://tex.z-dn.net/?f=5x%3D10)
Divide both sides by 5
![\frac{5x}{5}=\frac{10}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%3D%5Cfrac%7B10%7D%7B5%7D)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
![\mathrm{For\:}y-3x=-9\mathrm{\:plug\:in\:}x=2](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%7Dy-3x%3D-9%5Cmathrm%7B%5C%3Aplug%5C%3Ain%5C%3A%7Dx%3D2)
![y-3\cdot \:2=-9](https://tex.z-dn.net/?f=y-3%5Ccdot%20%5C%3A2%3D-9)
![y-6=-9](https://tex.z-dn.net/?f=y-6%3D-9)
Add 6 to both sides
![y-6+6=-9+6](https://tex.z-dn.net/?f=y-6%2B6%3D-9%2B6)
![y=-3](https://tex.z-dn.net/?f=y%3D-3)
Therefore, the solution to the system of equations be:
![y=-3,\:x=2](https://tex.z-dn.net/?f=y%3D-3%2C%5C%3Ax%3D2)
Answer:
Domain:
(
−
∞
,
∞
)
Step-by-step explanation:
75a^2b/25ab^2
= 75x axaxb /25xaxbxb
=3a/b
Answer:
∠AQS ≅ ∠BQS when segments AQ and BQ are equal.
Step-by-step explanation:
Answer:
Triangles
Step-by-step explanation:
- Angle b
- Triangle BED
- Triangle ABC