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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 system of equations has no solution. What do you know about the two lines in this system of equations? Answer:

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Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

3x - 6y = - 12 → (1)

x - 2y = 10 → (2)

Rearrange (2) expressing x in terms of y by adding 2y to both sides

x = 10 + 2y

Substitute x = 10 + 2y into (1)

3(10 + 2y) - 6y = - 12 ← distribute left side

30 + 6y - 6y = - 12 ( subtract 30 from both sides )

0 + 6y - 6y = - 12 - 30 , that is

0 = - 42 ← not possible

This indicates that the system of equations has no solution.

The 2 lines must therefore be parallel with no intersection

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