Answer:
Different ways to solve a system of linear equations:
- isolate one variable in one equation and replace it in the other equation
- multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
- graph the equation and look at the intersection point
If you graph the system:
- there is only one solution if the lines intersects at only one point
- there is no solution if the lines don't intersect each other (they are parallel)
- there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
He did this then that plus to this and that =334.2
Answer:
-1 1/4
Step-by-step explanation:
Answer:
second option
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
∠ 1 and 33° form a straight angle and are supplementary, thus
∠ 1 = 180° - 33° = 147°
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The third angle in the triangle on the left is
180° - (33 + 47)° = 180° - 80° = 100°, thus
∠ 2 = 180° - 100° = 80°
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∠ 2 and the angle in the triangle form a straight angle and are supplementary,
angle = 180° - 80° = 100°
The third angle in the triangle on the right is
180° - (100 + 48)° = 180° - 148° = 32°, thus
∠ 3 = 180° - 32° = 148° ( straight angle )
Thus
∠ 1 = 147°, ∠ 2 = 80°, ∠ 3 = 148°
The mean would be 58!! Basically what you’re doing to get the mean is adding all of the numbers together and dividing by how many you’re adding. In this case, you would add all of the numbers and divide by 8 because you have 8 numbers ! :D