Question

I chose graphing..? is that the easiest way?
Part 1: Decide whether you would use the graphing, substitution, or elimination method to solve the following system of equations. Explain, in complete sentences, why you chose that method.
Part 2: Solve the following system of equations and show all of your work.

5x + 3y = 8
y = −2x + 1

Answer 1

...

Answer 2

I personally prefer to isolate the y on both equations then set them as equal to each other to solve for x. Then plug x into eithe requation to get teh y value.

Put the x and y value together and you have your solution.

In my opinion, the method is really preference. Do which ever you can do easiest.

b. 5x+3y=8
3y=8-5x
y=(8-5x)/3

(8-5x)/3=-2x+1
8-5x=3(-2x+1)=-6x+3
-5x+6x=3-8
x=-5

y=-2x+1
y=-2(-5)+1
y=10+1
y=11

(-5,11)

Answer 3

Of course, if you have a graphing calculator, graphing method is probably faster.

Answer 4

what method are you using?

Answer 5

I'm not sure what it's called to be honest. My method is a version of subsitution that I learned. find the y of one equation by isolating the y value and subsituting it in for the y of another.

Answer 6

It's really the same method except the original method does not require you to move y to one side on both equations. Just plug in y from the bottom equation tha you gave into teh top equation in place of y.

Answer 7

Using the original method of subsitution:

5x+3y=8
5x+3(-2x+1)=8
5x-6x+3=8
-x=5
x=-5

y=-2x+1
y=-2(-5)+1
y=10+1
y=11

(-5,11)