The two lines in this system of equations are parallel
Step-by-step explanation:
Let us revise the relation between 2 lines
- If the system of linear equations has one solution, then the two line are intersected
- If the system of linear equations has no solution, then the two line are parallel
- If the system of linear equations has many solutions, then the two line are coincide (over each other)
∵ The system of equation is
3x - 6y = -12 ⇒ (1)
x - 2y = 10 ⇒ (2)
To solve the system using the substitution method, find x in terms of y in equation (2)
∵ x - 2y = 10
- Add 2y to both sides
∴ x = 2y + 10 ⇒ (3)
Substitute x in equation (1) by equation (3)
∵ 3(2y + 10) - 6y = -12
- Simplify the left hand side
∴ 6y + 30 - 6y = -12
- Add like terms in the left hand side
∴ 30 = -12
∴ The left hand side ≠ the right hand side
∴ There is no solution for the system of equations
∴ The system of equations represents two parallel lines
The two lines in this system of equations are parallel
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You can learn more about the equations of parallel lines in brainly.com/question/8628615
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Answer:The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m. (x1, y1) represents the first point whereas (x2, y2) represents the second point.
2(x+7) + x=20
(2)(x) + (2)(7) + x=20 Distribute
2x+14 + x =20
(2x+x) + (14) =20 Combine Like Terms
3x+14=20
- 14 -14 Subtract 14 from both sides
3x = 6
3x/3 6/3 Divide Both Sides by 3
x = 2
Let me know if you still don't understand
the answer is 0.2 or one fifths
Answer: Social science or sociology is considered as science but it is a pseudoscience.
Step-by-step explanation:
The sociology is considered as science as the study of social class, ethnicity, and religion abide by people of the society. Like, other factual sciences like chemistry, biology, and physics the facts cannot be rectified or verified by experimental trials. Instead, it is based on assumption and day to day experience with surrounding social environment. Thus, we can say that sociology is a science is a lie.
