Question

What is the solution to the system? Use the substitution method and show your work.
y = 2x + 3,
y = -1x + 6

(**Please walk me through this, I have no idea what to do**)

Answer 1

Off the top of my head, you set the equations equal to one another,
so

\[2x+3=-1x+6\]

Answer 2

(Please correct me if I'm wrong, the substitution method is unfamiliar to me XD)

Answer 3

http://www.mathpapa.com/algebra-calculator.html

This should help you. :) Step by Step.

Answer 4

Thats right. @Green101

Answer 5

you know what y is equal to, since both equations are equal to y, they are both equal to the same value therefore each equation is equal to the other
which you can write as @Green101 stated

2x+3=-x+6

now solve for x, then substitute into one of the two given equations to work out y

Answer 6

Mayne it won't work on urs. :/

Answer 7

Maybe*

Answer 8

Turn it into

\[3x=3\] so \[x=1\]

Answer 9

By collecting like terms

Answer 10

Then plug that into one of the equations,
\[y= (2)(1) + 3 \]
so \[y=5\]

Answer 11

okay i'm still not quite understanding it, i'm sorry :\ but thank you all for the help :)

Answer 12

ok lets make u understand :)

Answer 13

are you still here?

Answer 14

since they are both y equals you can plug either equation into anyone of there :)

Answer 15

*them

Answer 16

Ok this site is a bit laggy lol its taking a while for it to load so heres wht we can do
y = 2x + 3 <----equation 1
y = -1x + 6 <------equation 2
Now you can choose which ever equation you want to plug in....to either equation :)
im gonna plug in the 2nd equation into the first so i would sub in place of Y because the 2nd equation says Y equals y = -1x + 6 so this is how it would look:
\[(-1x+6)=2x+3\]

Answer 17

from there all you need to do is solve subtract 6 from 3 which is -3 now your equation looks like this :
\[-1x=2x-3\]

Answer 18

now subtract 2x from -1x and you get -3x your equation looks like this now :
\[-3x=-3\] and now you divide by -3x since we want to isolate X

Answer 19

so you get 1 because -3/-3 is positive 1

Answer 20

x=1

Answer 21

then you take the one and plug it into one of the equations im gonna do the 2nd one
\[y=-1(1)+6\]
1x1 = 1 +6 =7

Answer 22

y=7
Final answer : (1,7)

Answer 23

@pooja195 okay sorry about that, i wasn't on bu I'm starting to understand it and I'm gonna try this a few times with the same equation and do it the way you did it up there and I'll just keep practicing. Thank you all so much for helping me :)

Answer 24

If you want we can pratice?