Super need !
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?

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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step-by-step explanation:

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