Question

consider this systems of equations
2/3 x +3/5 y =12
5/2 y - 3x=6
the expression that gives the value of x is...
the solution for the systems of equations...

Answer 1

Do you know how to solve simultaneous equations?

Answer 2

no

Answer 3

A) 2/3 x +3/5 y =12
B) -3x +5/2 y =6

One way is to solve for x in one equation

Answer 4

I don't get it

Answer 5

B) -3x = -5/2 y + 6
We divide both sides by -3

x = 5/6 y -2

Answer 6

options
the expression that gives the value of x is... (5A/3)+(2B/5), (3A/5)-(5B/2), (5A/2)+(3B/5), (5A/3)-(2B/5), (3A/2) + (B/3)

Answer 7

mcfizzy STOP! What is that attachment?

Answer 8

the solution to the systems of equations is
(1118/47, 396/47)
(33/13, 50/13)
(99/13, 150/13)
(8,12)

Answer 9

@UsukiDoll what's wrong?

Answer 10

I've seen this poster (mcfizzy) posting an attachment that could be malicious. I've sent a report.

Answer 11

okay, I probably shouldn't click on the attachment then. I'll send a report too.

Answer 12

yeah.. under his profile all of his questions answered has spam with that attachment. everyone please report this.

Answer 13

I could use help with this problem, I'm still very confused

Answer 14

x = 99/13
y = 150/13

Answer 15

@wolf1728 is there to help. I have to warn everyone else about this issue as this is serious and against terms and conditions.

Answer 16

okay thank you

Answer 17

@wolf1728 I also need the expression that gives the value of x

Answer 18

Kaelyn - you do not know how to solve these so why do you need the expression for value of x ?

Answer 19

because the question asks me to find the expression that finds the value of x, I don't want you to give me the answer just help me find the right one

Answer 20

I think you should find someone else to help. I'm quitting for the moment.

Answer 21

okay thank you for your help

Answer 22

please help

Answer 23

May I try?

Answer 24

go for it @waterineyes as long as it's not a direct answer

Answer 25

go ahead @waterineyes

Answer 26

and @UsukiDoll I agree don't give the answer to me just help me find the answer myself

Answer 27

Okay, don't let our interaction stop anywhere, just reply if you know or not, just be with me...

Answer 28

okay

Answer 29

\[\frac{ 2 }{ 3 }x+\frac{ 3 }{ 4 }y=12\]\[\frac{ 5 }{ 2}y-3x=6\]frm equation 2,\[\frac{ 5 }{ 2 }y=6+3x\]\[y=\frac{ 2(6+3x) }{ 5 }\]now sub y=2(6+3x)/5 in eq 1
\[\frac{ 2 }{ 3 }x+\frac{ 3 }{ 4 }(\frac{ 2(6+3x) }{ 5 })=12\]simplify and solve for x we get
\[\frac{ 2 }{ 3 }x+\frac{ 36+18x }{ 20 }=12\]\[\frac{ 40x +108+54x}{ 60 }=12\]\[\frac{ 94x+108 }{ 60 }=12\]multiply both side of the equation we get..\[94x+108=720\]\[94x=720-108\]\[x=612/94\]\[x=6.510638\]...so y =...\[y=\frac{ 2(6+3(6.510638)) }{ 5 }\]\[y=10.21276\]..

Answer 30

okay understanding so far

Answer 31

-_- *throws a water bottle @waterineyes

Answer 32

Both our equations are in fraction form, we should simplify them to make a good looking equation first...
Do you know how to take LCM?

Answer 33

Hell, my net stopped working.. :(

Answer 34

Yes I know how to take LCM

Answer 35

Like in first equation, 15 is the LCM, so you can multiply whole equation by 15...

Answer 36

@LynFran I am afraid you are right everywhere, but you have taken wrong fraction in very first equation,, 3/5 is good, not 3/4.. if I am not blind then.. :P
Your method is good.. :)

Answer 37

if we find our y and x, keep it in fraction form. ... decimals are a pain to deal with T_T

Answer 38

*throws a canteen at @waterineyes

Answer 39

Guys lets not throw things...

Answer 40

o i see im sleepy lol @waterineyes goodnight u guys

Answer 41

Goodnight @LynFran

Answer 42

\(10x + 9y = 180\) --- 1

This you got?

Answer 43

what is that ?

Answer 44

sigh....... the second equation is easier to deal with
2/3 x +3/5 y =12
5/2 y - 3x=6

\[\frac{2}{3}x+\frac{3}{5}y=12\]
\[\frac{5}{2}y-3x=6\]


so multiply 2 throughout the entire second equation
\[\frac{5}{2}y-3x=6\]

Answer 45

And this way your second equation becomes:
\(5y - 6x = 12\) --------- 2

Answer 46

uh huh

Answer 47

@Kaelyn78 are you getting how I formed these two equations?

Answer 48

yes I understand

Answer 49

10x + 9y = 180
5y-6x=12

Answer 50

Thanks.. Again and again I was going above to see these equations, as you are posting in between so things are going above..

Answer 51

you can write the second equation, other way round, x first and then y:

\(10x + 9y = 180 \\ -6x + 5y = 12\)

Answer 52

\[[10x + 9y = 180 ] \times 6 = 60x + 45y = 108 \\ [-6x + 5y = 12 ] \times 10 = -60x + 50y = 120\]

Answer 53

I have multiplied the coefficient of x in second equation with first equation and same for second equation.. are you getting this step?

Answer 54

yes I understand

Answer 55

Now you just need to add those equations...

Answer 56

\[\cancel{60x} + 45y = 1080 \\ \cancel{-60x} + 50y = 120 \\ --------- \\95y = 2200\]

Answer 57

Sorry, that is 1080 and not 108...

Answer 58

okay

Answer 59

Getting previous step?

Answer 60

yes I'm getting it

Answer 61

Now find y, by dividing by 95 both the sides..

Answer 62

23?

Answer 63

Wait, I am just double checking it.. Let me take copy and pen too..

Answer 64

It is certainly a wrong...

Answer 65

9 multiplied by 6 is 54 not 45, just keep eyes on what I am doing, I can be wrong anywhere in writing digits. :P

Answer 66

After Multiplying 6 and 10 the equations you will get are:
\(60x + 54y = 1080 \\ -60x + 50y = 120\)
Form this you will get:
\(104y = 2200\)

Answer 67

Kill me.....

Answer 68

1080 + 120 = 1200.. What has happened to me today.. :(

Answer 69

@waterineyes aw sorry I can't help with that

Answer 70

\(104y = 1200\) Now just find y by cancelling out the things..

Answer 71

if it's any consolation I would have gone certifiably insane trying to do this all by myself

Answer 72

thank you

Answer 73

\[y = \frac{1200}{104}\]

Answer 74

gotta reduce that fraction

Answer 75

Do not use calculator, just cancel it out with 8, you will get in fraction..

Answer 76

Now, put the fraction in any one of the equation above to find x...

Answer 77

Found value of y?

Answer 78

\[y=\frac{150}{13}\]

5y-6x=12

plug in y in this equation and solve for x

Answer 79

what are you talking about? I didn't post that.

Answer 80

\[5(\frac{150}{13})-6x=12\]

Answer 81

@Kaelyn78 what you got for y? You break the interaction?? :(

Answer 82

Okay, I gotta go now. If any doubt, Doll will tell you, or I will when I login next.. :)
Solving these types of equations is really an easy task, just learn the concept, rest is a-jiffy work..

Answer 83

sorry fell asleep

Answer 84

I'm going to bed, thanks everyone, goodnight