Question

Use th method of substitution to solve the system of linear equation.(numbr three key not working..)
2x+5y= two/ thirds
y=three x-1
The solution is?

Answer 1

Substitution means substituting one variable with another so that there is only one variable (in, this case, x) in the equation and it can be solved for.
The first step is putting y in terms of x. So:
2x + 5(3x-1)=2/3
Can you solve it from here?

Answer 2

ok i will try

Answer 3

2x+15x-5=two/third
17x-5=2/third

Answer 4

hello

Answer 5

sorry, I'm here. once sec

Answer 6

ok

Answer 7

17x-5=2/3
Okay, so now you still have to isolate x.
Do you know how to do that? To get x alone on one side of the equation, with everything else on the other side?

Answer 8

do i add 5 to both sids and get 17/7

Answer 9

5+2=7

Answer 10

y=7x-17

Answer 11

Wait, go back!

Answer 12

?

Answer 13

where did i go wrong?

Answer 14

you lost me at y= 7x- 17,
but 5 + 2/3 doesn't equal 17/7

Answer 15

ok this is the part where i get confused

Answer 16

So, from there:
17x-5=2/3
17x= 5 + 2/3 (or 17/3)

Answer 17

does that make sense?

Answer 18

ok so i have to work the other stp to solve the 2nd solution

Answer 19

for y

Answer 20

y=17x-three

Answer 21

Wait, you still haven't isolated x though!

Answer 22

ok i skipt ahead

Answer 23

ok lets solve

Answer 24

you have one more step in order to get x by itself.
17x=17/3
Now divide both sides by 17 (or, to make it easier when multiplying fractions, you can multiply by 1/17
x = 17/3 * 1/17

Answer 25

so x=1/3

Answer 26

NOW you can plug x into
y=3x -1

Answer 27

ok so y=three x-1
y= three*1/thid*1
y=0

Answer 28

yes!! awesome! Now to check it:
2(1/3)+5(0)= 2/3
2/3 + 0 = 2/3
nice work!

Answer 29

so the solution is (2/third,0)

Answer 30

im sorry i am rally trying please bare with me

Answer 31

really

Answer 32

you're doing well! And yes, the solution is x=2/3, y=0 or (2/3,0)

Answer 33

ok i am trying so hard i really do appreciate your help

Answer 34

I used to be TERRIBLE at math, the only reason I got better is because my brother worked with me for an hour every single freaking day. stick with it!
do you have any other questions?

Answer 35

no i am adding you