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:
130 papers.
Step-by-step explanation:
1 min per paper therefore 130 mins = 130 papers
:)
Answer:
5x+9y=-16
Step-by-step explanation:
here is my work although I am not 100 percent sure I am right because,I am learning the same thing as you
-6+1 over 4+5
y+1=-5/9(x+5)
y+1=-5/9x-25/9
y=-5/9x-16/9
5/9+y=-16/9
5x+9y=-16
Answer:
In a year she will pay $900
The cost of the installation and a month would be $225
The cost of a year and installation would be $1,080
Step-by-step explanation:
</3 PureBeauty
Answer:
When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.
This tell us that the main measures of any rotated shape will not change.
Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.
And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.
The only thing that changes will be the coordinates of our polygon.
