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MandyMarieLove · Feb 25, 2010, 10:40 AM

Identify the type of system of equations for the system below.

2y = 4 – 6x
3y + 9x = 6

How do I figure out the answer to this questionn, again I am not looking for the answer, just some help. :]

ebaines · Feb 25, 2010, 11:18 AM

I don't know how to guide you without giving the answer away. So I will ask for your commitmnt to please read the two web pages referenced in the answer that follows.

You have two equations that together are a "system" - so these are simultaneous equations. This term applies whenever you have more than one equation making up a system. Please see: Simultaneous equations - Wikipedia, the free encyclopedia

Both equations have x and y terms to the first power only - that is, there are no terms like x squared, y cubed, etc. So these are "first order" equations, also known as "linear" equations because when you plot them on a graph they come out as lines. Please see: Linear equation - Wikipedia, the free encyclopedia

Hence these are "simultaneous linear equations."

MandyMarieLove · Feb 25, 2010, 01:05 PM

Could you answer if the if this would be correct..

There's intersecting lines, so there's different slopes and y intercepts and it is consistent and independent, and there is one solution..

I believe I am right, and doing this all right, if you could answer whether I am or not, it will tell me whether I am doing it right..

Again, thanks!

MandyMarieLove · Feb 25, 2010, 01:09 PM

And when I am putting the equations into y=mx+b, if the equation looked like this.. 2y=4x+2, wouldn't I want to get the y by itself by dividing by two?

ebaines · Feb 25, 2010, 02:10 PM

Upon further review: if you divide through the first equation by 2, you'll get it into the form y = mx + b. Then divide the second equation by 3 and rearrange so that it too is in the form y = mx+b, and you'll find that these two equations both represent the same line! Same slope, same y intercept. Sorry I didn't catch that before.