A system of equations is shown below:

3x + 8y = 12
2x + 2y = 3

Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this.

Show that the equivalent system has the same solution as the original system of equations.

Question

A  system of equations is shown below:

3x + 8y = 12
2x + 2y = 3

 Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this. 

Show that the equivalent system has the same solution as the original system of equations.

anonymous · Answer

Okay so in order to do this you want to multiply the second line by -4

camerondoherty · Answer

ok so how?

anonymous · Answer

Multiply every term in the second like by (-4)

camerondoherty · Answer

oh kk

anonymous · Answer

(-4)(2x+2y)= 3(-4)

camerondoherty · Answer

-8x + -8y = -12

anonymous · Answer

So now you can just cancel out the y if you subtract the equations. 
3x + 8y = 12
-8x -8y = -12

anonymous · Answer

So you would get -5x=0 
then x=0, and to solve for y plug in x into any of the two.

anonymous · Answer

Y=2/3

camerondoherty · Answer

wait so y=0?

anonymous · Answer

Wait no y=3/2

camerondoherty · Answer

so x=0 then?

anonymous · Answer

You just plug in x into any of the two equations

anonymous · Answer

Yes that's what we solved first

camerondoherty · Answer

ok so x=0 and y=3/2 and you substitute the values and solve

anonymous · Answer

3(0) + 8y=12
then 8y=12
y=12/8 or 3/2

camerondoherty · Answer

to check

anonymous · Answer

Yeah

camerondoherty · Answer

oh ok than i have to solve the original right?

anonymous · Answer

We did solve the original. But umm I don't really get what the directions is asking for.

camerondoherty · Answer

lol ok

anonymous · Answer

3x+8y=12
-8x-8y=-12 would be an equivalent system and they would give you the same answer

camerondoherty · Answer

Thanks a bunch!

anonymous · Answer

Yeah, no problem babe.

anonymous · Answer

3x + 8y = 12 
2x + 2y = 3 
 
-6x = 16y = -24 
6x + 6y = 9 
 
-10y  = -15 
/-10 /-10 
 
y = 1.5 
 
sub in y into the equation and solve for x :) @camerondoherty

camerondoherty · Answer

You copied pasted that -_- http://prntscr.com/41o8av

anonymous · Answer

yeah... Atleast I helped you

anonymous · Answer

Anyways yeah you get the same answer y=3/1 or 1.5

anonymous · Answer

I don't think shes online

anonymous · Answer

Monster1234 take your plagiarism and leave this site. we don't want help from cheaters.

anonymous · Answer

It's Russian

anonymous · Answer

You could have linked that question instead of submitting it as your own

anonymous · Answer

atleast you people actually hep others right? so why be so ungrateful