Answer:
(2/3, 13/3) (Exactly one solution)
Step-by-step explanation:
Write these equations in a column:
x+y=5
2x-y=-3
Note that we can eliminate y immediately by adding these two equations together. We get:
3x = 2, so that x = 2/3.
Substituting 2/3 for x in the first equation, we get:
2/3 + y = 5. Clear out fractions by multiplying all three terms by 3:
2 + 3y = 15, or 3y = 13. Then y = 13/3, and the solution is
(2/3, 13/3) There is exactly one solution.
Answer:
2
Step-by-step explanation:
Subtract the number with the term both sides ( which is 9)
![{x}^{2} + {y}^{2} - 6x + 4y = - 9](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%20-%206x%20%2B%204y%20%20%3D%20%20-%209)
Complete the square for the x terms and y terms.
( To complete the square divide the coefficient term by 2 and square it, then add that product to both sides.)
![{x}^{2} - 6x + 9 + {y}^{2} +4y + 4 = - 9 + 9 + 4](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%209%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%2B4y%20%2B%204%20%3D%20%20-%209%20%2B%209%20%2B%204)
![(x - 3) {}^{2} + (y + 2) {}^{2} = 4](https://tex.z-dn.net/?f=%20%28x%20-%203%29%20%7B%7D%5E%7B2%7D%20%20%2B%20%28y%20%2B%202%29%20%7B%7D%5E%7B2%7D%20%20%3D%204)
Take the square root of the right side to find the radius
![\sqrt{4} = 2](https://tex.z-dn.net/?f=%20%5Csqrt%7B4%7D%20%20%3D%202)
Answer:
here the coordinates given are incorrect but I have solved it anyway see the attachment for further information
Answer:
y = -2x + 14
Step-by-step explanation:
Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = -2x + b
We are given a point (x, y) of (5, 4), so plug that in and solve for b.
4 = -2(5) + b
4 = -10 + b (simplify)
14 = b (add 10 to both sides to isolate b)
So the equation of our line is y = -2x + 14
Answer:
3x+y
Step-by-step explanation:
It's already in simplest form, you can't do anything else to it.