## lak 2 years ago Solve the system using the substitution method: x+2y=6 3x-2y=2

• This Question is Open
1. teague19

so the substitution method states that you need to subsitute one variable for another. Lets substitue for y, how do we do this? Solve for y with ethier equation.

2. lak

i don't know!

3. teague19

I didnt ask you a questions lol I told u to solve for y on one of those equations I wont help if you dont try

4. lak

i've been sitting here for like half an hour looking through the steps on how to do it

5. teague19

take one of those equations and solve for y, you have done this before.

6. lak

I did, but i ended up with -4y= -3x+2....and that's not right

7. teague19

it would be -2y=-3x+2 where did u get the 4?

8. teague19

also thats not finished you need to get the 2 away from the y

9. lak

i have know idea and ok

10. teague19

3x-2y=2 you subtract 3x -2y=-3x+2 then what?

11. lak

3x-2y=2?

12. teague19

that is the original equation you divide both sides by 2 to get y by itself just like we did on that other paper

13. lak

3x+y=1

14. lak

i meant -1

15. teague19

0.o no were at -2y=-3x+2 if you divide -2 you get y=3/2x+1

16. lak

that's what i had at first, but then you said the original equation was something different

17. teague19

I did not and you never had that you had 3x+y=1 you still need to solve for y

18. teague19

now that you have solved for y uou can plug that equation in for the y in your second equation

19. teague19

x+2y=6 3x-2y=2 im gonna use the top one becuase its easier but x+2y=6 -x -x 2y=-x+6 /2 /2 y=(-1/2)x+3 now take the other equation solve for y and SUBSTITUTE the Y;s y=(-1/2)x+3 then solve for 3x-2y=2 -2y=-3x+2 /-2 /-2 y=(3/2)x+1 y=y (3/2)x+1 = (-1/2)x+3 (4/2)x=2 *2 *2 4x=4 x=1

20. lak

thanks

Find more explanations on OpenStudy