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Vilka [71]
3 years ago
14

1

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0
It will be 4.06, 4.3, 4.306 and 4.36
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What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
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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
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∵ 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)

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Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

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- 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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