Answer:
![(3,2)](https://tex.z-dn.net/?f=%283%2C2%29)
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
![y=-2x+8\\y=x-1](https://tex.z-dn.net/?f=y%3D-2x%2B8%5C%5Cy%3Dx-1)
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
![x-1 = -2x + 8](https://tex.z-dn.net/?f=x-1%20%3D%20-2x%20%2B%208)
Now solve using inverse operations,
![x -1 = -2x + 8\\+2x\\\\3x - 1 = 8\\+1\\\\3x =9\\/3\\\\x = 3](https://tex.z-dn.net/?f=x%20-1%20%3D%20-2x%20%2B%208%5C%5C%2B2x%5C%5C%5C%5C3x%20-%201%20%3D%208%5C%5C%2B1%5C%5C%5C%5C3x%20%3D9%5C%5C%2F3%5C%5C%5C%5Cx%20%3D%203)
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
![y=x - 1\\](https://tex.z-dn.net/?f=y%3Dx%20-%201%5C%5C)
Substitute,
![y=(3)-1](https://tex.z-dn.net/?f=y%3D%283%29-1)
Solve,
![y=2](https://tex.z-dn.net/?f=y%3D2)
Thus, the answer to this system of equations is the following,
.
Answer:
A
Step-by-step explanation:
-When the function moves to the right or left to the x axis, the number has to be in "( )"
-If it moves to the right, you SUBTRACT the amount of units
-It it moves to the left, you ADD the amount of units.
So in this case, it is moving to the right 12 units so it is ![(x-12)^{2}](https://tex.z-dn.net/?f=%28x-12%29%5E%7B2%7D)
The equation is option number c because someth = smth
Answer:
It's 15
i took the test
Step-by-step explanation: