SOLUTION: Need to solve equation 3x-1=5x-y and graph results. This is my attempt: 3x-1-5x = 5x-y-5x -2x-1 = -y, do I do anything else or is this the answer?

Algebra ->  Graphs -> SOLUTION: Need to solve equation 3x-1=5x-y and graph results. This is my attempt: 3x-1-5x = 5x-y-5x -2x-1 = -y, do I do anything else or is this the answer?      Log On


   

Question 156700: Need to solve equation 3x-1=5x-y and graph results.
This is my attempt:
3x-1-5x = 5x-y-5x
-2x-1 = -y, do I do anything else or is this the answer?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x-1=5x-y Start with the given equation


3x-1-5x=-y Subtract 5x from both sides


-2x-1=-y Combine like terms.


%28-2x-1%29%2F%28-1%29=y Divide both sides by -1 to isolate "y"


%28-2x%29%2F%28-1%29-%281%29%2F%28-1%29=y Break up the fraction.


2x%2B1=y Reduce


y=2x%2B1 Rearrange the equation





Looking at y=2x%2B1 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=2 and the y-intercept is b=1


Since b=1 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is 2, this means:

rise%2Frun=2%2F1


which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1



So starting at , go up 2 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=2x%2B1

So this is the graph of y=2x%2B1 through the points and