Solve the following system and show all of your work.
3y − 2x = 11
y + 2x = 9 ... Does anyone know how to do this?

Question

Solve the following system and show all of your work.
3y − 2x = 11
y + 2x = 9 ... Does anyone know how to do this?

anonymous · Answer

you can add up the two equations in a column

aravindg · Answer

$$\Huge \text{WELCOME TO OPENSTUDY !}$$

anonymous · Answer

$$3y-2x=11$$$$y+2x=9$$ add in a column, get 
$$4y=20$$ then solve for $y$ in your head, get $y=5$

aravindg · Answer

ADD the two equations to get equation in y

aravindg · Answer

then solve for y

anonymous · Answer

And after do we plug that in into the variables

aravindg · Answer

yep to get x!!

anonymous · Answer

ok, so we use y = 5 to find x

anonymous · Answer

yes, you can replace $y$ by $5$ in either equation and solve for $x$

aravindg · Answer

right @thisisarri !

anonymous · Answer

if you want to check your answer, replace $y$ by $5$ in both equations, and see that you get the same number for $x$.  then you will know it is right

anonymous · Answer

Thanks so much guys! Your awesome!