Answer: x = 1, y = - 5
Step-by-step explanation:
The given system of linear equations is expressed as
x - 2y = 11- - - - - - - - - - - - -1
- x + 6y = - 31- - - - - - - - - - - -2
We would eliminate x by adding equation 1 to equation 2. It becomes
- 2y + 6y = 11 - 31
4y = - 20
Dividing the the left hand side and the right hand side of the equation by 4, it becomes
4y/4 = - 20/4
y = - 5
Substituting y = - 5 into equation 1, it becomes
x - 2 × - 5 = 11
x + 10 = 11
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
x + 10 - 10 = 11 - 10
x = 1
If you would like to find the final score, you can do this using the following steps:
Team A: 6 points * 3 + 3 points * 2 + 2 points * 1 + 1 point * 0 = 6 * 3 + 3 * 2 + 2 * 1 + 1 * 0 = 18 + 6 + 2 + 0 = 26 points
Team B: 6 points * 4 + 3 points * 4 + 2 points * 1 + 1 point * 2 = 6 * 4 + 3 * 4 + 2 * 1 + 1 * 2 = 24 + 12 + 2 + 2 = 40 points
The final score of team A is 26 points and the final score of team B is 40 points.
Answer:
x = 18
Step-by-step explanation:
By the rule of Consecutive Interior Angles which define what these angles are, they both will add up to 180. As such we can put the sum of these two angles set equal to 180, and solve algebraically
(8x - 20) + (3x + 2) = 180
8x - 20 + 3x + 2 = 180
11x - 18 = 180
<u> + 18 +18</u>
11x = 198
x = 198/11
x = 18
