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Determine if the system has a solution. If it does, how many? {4y-x=12 and 3y+3=-3

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Answer:

The system has a solution at (-20,-2).

Explanation:

To find the solution of the system, you need to find where the two equations intersect, or are equal to each other. You may do this with a calculator, but I find it much easier using a graphing software online, like Desmos.

Once I graphed these two equations, I found that they intersected each other at the point (-20,-2), so the system has ONE solution.

At x=-20, both equations have y=-2.

**I would also like to note that the second equation, y will ALWAYS equal -2, so you're really just finding where the first equation equals that as well.**

Determine if the system has a solution. If it does, how many? {4y-x=12 and 3y+3=-3-example-1
User Roddy R
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