What is the solution of the system of equations? -4x+3y=-12 -2x+3y=-18 *Note: I believe it has no solution, but I would like to make sure. Thank you all for your help.

Step-by-step explanation:

I've enclosed a graph to show you that there is one solution.

-4x + 3y = - 12

- 2x + 3y = - 18           Subtract

-2x = 6                        Divide by - 2

-2x/-2 = 6/-2

x = - 3

- 4x + 3y = - 12

-4(-3) + 3y = - 12

12 + 3y = - 12

3y = - 12 - 12

3y = - 24

3y/3 = - 24/3

y = - 8

Which is exactly what the graph shows.

You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.

It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.

The y's are the same so you are 1/2 way home in saying what you did.

The x's are different so that means you have at least 1 solution.