Subtract 20 from 40 then divide by 10
C=2
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
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/8628615
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-5/2+5
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Answer:
x=6
Step-by-step explanation:
3+x=9
-3 -3
x=6
Answer:
1. c 2. a 3. b
Step-by-step explanation:
The best way to prove these results are the right ones is by multiplying diagonally :
1. 1/3 = 4/12 -----> 1 . 12 = 12 ; 3 . 4 =12
2. 1/2 = 3/6 ------> 1 . 6 = 6 ; 2 . 3 = 6
3. 2/5 = 6/15 -----> 2 . 15 = 30 ; 5 . 6 = 30
The results of the multiplications must be the same if the fractions are equivalent.
