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:
12/52 = 1/4 chance.
Step-by-step explanation:
10% of 4200 is 420
2% of 4200 is 84
420+84 is 504
4200-504=3696
Hope this helps
A = 9 because 11.2-2.2=9
B= 2.2 because 9+2.2=11.2
C=2.2 because 11.2-9=2.2
D=9.2 because 11.2-2=9
E=4.5 because 9.5-5=4.5
F= 5 because 9.5-4.5=5
G=4.5 because 9.5-5=4.5
H=5 because 9.5-4.5=5
I= x=11 because 99 divided by 9 = 11
J= x=9 because 99 divided by 11 = 9
K= 9 because 99 divided by 11 =9
L= 11 because 99 divided by 9=11
M=2 because 4 divided by 2 =2
N=4 because 2 times 2 =4
O=2 because 4 divided by 2 =2
P=2 because 4 divided by 2=2
hope this helps:)
