Solved it.
Hi everyone, I am new to the forum and just anted to say hi and see what this forum is all about. I guess I can start with a math question that I am stuck on.
Here is a link:
http://education-portal.com/academy/lesson/what-is-a-system-of-equations.html
at the bottom of the question there is a video that is supposed to explain it , but I still can't figure it out. The correct answer is (3,4) but I can't figure out how to get there. It is a question dealing with systems of equations. I highly appreciate the help, because I want to understand this to get a degree. Thank you.
Well besides the fact that this stupid website only posted half of what I wrote to correct to the first mistake, I have solved the answer. Thank you to all who tried to help ,but couldn't because of my first mistake and the website's mistake. The question was a system of equations question, and the problem presented was
y=3x-5 and y=-2x+10
I was to combine and solve for x and y which is where the equations would converge on a graph.
The answer I knew was three and four as the website has a multiple choice question, but that does not help with understanding. So as I was instructed I combined the two equations by putting the equations together because out y axis point would be the same, so than all that was left was to solve for x using inverse operations. So I did this by eliminating the first co-dependant by subtratcing it against itself and the other codependant thusly.
y=3x-5=y=-2x+10
-3 -3
Which gave me this
-5=-5x+10
Here is where I always messed up as I neglected to mulitply by the reciprocal. I tried subtracting and division over and over to my frustration because I was confused as the the proper procedure. After watching the video over and over it finally clicked that I am supposed to multiply the reciprocals. Like this.
-5=-5x+10
-5/1 *1/5 and -5/1 *1/5 and 10/1 * -1/5
which canceled my remaining co-dependent as well as the number left on the left side of the equation which still left me with the following
which left me with the figure 2 and x
I than thought I had my x figure so I tried to plug this back into y=3x-5 which I knew was wrong because I already knew the answer was (3,4) So I scratched my head and went back a step when I had the epiphany that the the x must have a value of one so I did that making my value three and that worked. I found my Y value as four as I knew it was supposed to be and cried from sheer joy :'O. Here is how I did the last part.
y=3 * 3-5=4 so Y=4 which gave me x=3 and y=4 which is what the website said was correct.
I am wondering know if someone can go over my work and check to see if it is correct, and also I had to assume that when multiplying reciprocals to eliminate codependents that negative or positive doesn't matter. Is this correct. Other wise I need to go back and try to solve again and I can't see any other way to solve the equation. Thank you in advance for any help and proof checking.
