Question

Solve the system by graphing
3x=y+3
6x-3=2y

Answer 1

hi,

i just learned systems of equations today in class. i really like them :D

so, the first thing you have to do is to get these equations into y=mx+b form.

then, plot the y intercept onto the graph.

use the slope to find the direction of the lines.

and there, you have graphed them.

do you need to find a solution, too?

Answer 2

do you understand?

Answer 3

No i am so confused. i need to know the points to plot.

Answer 4

ok, do you know how to put these equations in y=mx+b form?

Answer 5

yea y=3x+3

Answer 6

y=-3x+3 because we subtract.

Answer 7

how about the other equation?

Answer 8

2y=6x-3

Answer 9

simplify it further, you need to get the y by itself.

Answer 10

divide by 2 right?

Answer 11

yes

Answer 12

y=3x-3/2

Answer 13

?

Answer 14

yes. good.

ok so we now know the y intercept and slopes for bothe equations

Answer 15

both*

Answer 16

do you know them?

Answer 17

-3=m

Answer 18

would it be 3/1

Answer 19

for the second equation, the slope is 3, or 3/.

Answer 20

3/1*

sorry.

Answer 21

what about the y intercepts now?

Answer 22

what is the first eqution then. I thought 3/1 was the first equation?

Answer 23

the first equation is y=-3x+3. so the slope is -3.

the second equation is y=3x-3/2, so the slope is 3.

Answer 24

yea but the rise over run for the first is 3/1?

Answer 25

-3/1, you have to take the negative too.

Answer 26

ok?

Answer 27

Yes and then the other one is -3/2?

Answer 28

the second equation is y=3x-3/2, so the slope is 3.

Answer 29

-3/2 is the y intercept.

Answer 30

ok?

Answer 31

the number next to the x is the slope. the number being added/subtracted to it is the y intercept.

Answer 32

are you getting it? i can show you everything, if that would help.

Answer 33

What would the coordinate points

Answer 34

Woudl you be able to help me with another problem?

Answer 35

x-3y=-3
X=3y=9

Answer 36

the y intercept for the first equation is (0,3)

the y intercept for the second equation is a little weird.

-3/2 = -1 and 1/2.

so you will plot (0,3) and (0, -1 half)

always plot the y intercept first.

ok?

and yes I will try my best to help you with another problem :D

Answer 37

Ok thank you. We sent the message at the same time. The problem is
x-3y=-3
3y=x-3

Answer 38

so far i have y=x/3-1

Answer 39

ok but do you have the first problem graphed?

Answer 40

nvm this is the problem
x-3y=-3
x+3y=9

Answer 41

yes i did get it graphed

Answer 42

ok good.

x-3y=-3

-3y=x-3

y=1/-3x+1

see what i did there?

Answer 43

yes i did!

Answer 44

I got the same answer!

Answer 45

awesome!

can you write the correct equation for the second equation?

Answer 46

for x+3y=9

Answer 47

y=x/3-3

Answer 48

you're close!

x/3 is hard to plot because we need to know the rise, and we cant plot the rise because x is just a variable.

soo... x/3 = 1/3x

now that's easier to work with. that is your slope.

Answer 49

-3 is my plot and 1/3 is the rise over run?

Answer 50

and...

it is not -3, it is 3 because you divide 9 by 3 and that gives you 3.

Answer 51

oh ok

Answer 52

got it?

Answer 53

i always get my graphing wrong? I am doing it wrong somehow

Answer 54

plot 3 then move up one and to the right three points.

Answer 55

plot (0,3) i meant.

Answer 56

I am confused. so what do i plot first?

Answer 57

i plotted (1,0) then went up one and over -3