Its due what is the solution to the system of equations? 3x-6y=-12 x-2y=-8 (a)use the substation method to justify that the given system of equations had no solution. show all work! (b) what do you know about the two lines in this system of equations?

Step-by-step explanation:

3x- 6y= -12

and:

x-2y= -8 here, add 2y to both sides and you get:

x = 2y-8 Now, in the equation above, substitute for x:

3(2y-8)-6y = -12 distribute the 3 over the terms in parenthesis:

6y-24-6y = -12

Add 24 to both sides:

6y-6y = 12

0y = 12

Since y cannot be 0, this problem has no solution.

To plot lines you have to find the ordered pairs:

3x-6y = -12

6y = 3x+12

y = 3/6x+12/6

y = 1/3x+2

set x to 0:

y = 0x+2

y = 2

now we have an ordered pair, a dot on the graph: (x, y) = (0, 2)

Solve for y = 0:

3x-6y = -12

3x = 6y-12

x = 6y/3-12/3

x = 2y-4

set y to 0

x = 0y-4

x = -4

our second ordered pair is (-4, 0)

If you want, you can mark the two point on a graph and trace a line joining the two.

You do the other equation following my example and find out if they have any points in common.

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step-by-step explanation: