Answer:
x=−2y+3 and x=y+6
Step-by-step explanation:
x+2y=3
x+2y+−2y=3+−2y
x=−2y+3
x−y=6
x−y+y=6+y
x=y+6
Answer:
1. gcd(77,30)=1
Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.
2. u=-11, v=18
Using the Euclidean Algorithm we have that
Now, we express the remainder as linear combinations of 49 and 30.
Then 
3. x=18
If 
then
for some 
.
Then, if k=7,
Answer:
0.83
Step-by-step explanation:
The 3 keeps going on and on and on :)
Okay, you will need to use the law of cosines for this problem.
The Law of Cosines states (in this case): a^2 = b^2 + c^2 - 2 * b * c * cos A, where "a" is the side opposite angle A (7 inches), and b and c are the other two sides.
Plug the numbers in and you get: 7^2 = 5^2 + 9^2 - 2 * 5 * 9 * cos A, or:
49 = 25 + 81 - 90 * cos A.
Subtract (25 + 81) from both sides to get:
-57 = -90 * cos A.
Divide by -90 on both sides:
cos A = 19/30
To find A, you do the inverse trigonometric function to get:
cos^-1 of (19/30) = A.
I don't have a calculator that can do this right now, but if you plug the left side of the above equation into it (make sure it is in degrees, not radians), you should get A.
