Answer:
(-4, 15)
Step-by-step explanation:
The linear combination method involves combining the system of equations and eliminating one variable to solve for the other. In the given system, you need to first multiply one of the equations by -1 in order to eliminate the 'y':
-1(3x + y = 3) or -3x -y = -3
+ <u> 2x + y = 7</u>
-x = 4 or x = -4
Use x = -4 to solve for 'y':
2(-4) + y = 7 or -8 + y = 7
y = 15
Final answer: (-4, 15)
The coordinates of P' is ![(7,-11)](https://tex.z-dn.net/?f=%287%2C-11%29)
Explanation:
The coordinates of Point P is ![(4,-9)](https://tex.z-dn.net/?f=%284%2C-9%29)
It is given that the point P is translated according to the rule,
![$(x, y) \implies(x+3, y-2)$](https://tex.z-dn.net/?f=%24%28x%2C%20y%29%20%5Cimplies%28x%2B3%2C%20y-2%29%24)
Now, substituting, the values for x and y, we get,
![(4,-9)\implies(4+3,-9-2)](https://tex.z-dn.net/?f=%284%2C-9%29%5Cimplies%284%2B3%2C-9-2%29)
Adding the values, we get,
![(7,-11)](https://tex.z-dn.net/?f=%287%2C-11%29)
Thus, the coordinates of P' is ![(7,-11)](https://tex.z-dn.net/?f=%287%2C-11%29)
The answer would just be 5 3/10 because you completed an extra whole number.
The other coordinate B is = (-4,-4)