3x-2y=1 how to find the value of x and y?

lokitwister · 2013-01-31 23:28:28

HI,
I am very weak in match, i have equation like
1. 3x-2y=1 h
2. 3x+y = x+3

Please help
Lokesh

bobbym · 2013-01-31 23:29:44

Hi;

What is that h doing there?

lokitwister · 2013-01-31 23:31:29

i m doing set theory

bobbym · 2013-01-31 23:33:06

I do not understand, aren't you solving a simultaneous set of linear equations? What has that to do with set theory? Is that h a variable?

lokitwister · 2013-01-31 23:33:28

quiz is this . find x and y if (3x+y, x-1) = (x+3, 2y-2x)

sorry h is mistake , h is nothing

lokitwister · 2013-01-31 23:36:45

this question is from ordered pairs, so that first i have to find x and y

bobbym · 2013-01-31 23:38:44

I am getting x = 1 and y = 1.

lokitwister · 2013-01-31 23:41:45

yes, perfect, is there any method or something else to find value of x and y?

bobbym · 2013-01-31 23:45:23

There are several methods:

Form the simultaneous set:

Do you know how to solve that?

lokitwister · 2013-01-31 23:47:35

no, i don't know

bobbym · 2013-01-31 23:58:23

Clean this one up a bit by subtracting x from both sides.

Clean up the second one

Add 2x to both sides

Subtract 2y from both sides.

Add one to both sides

We now have

Did you follow up to here?

lokitwister · 2013-02-01 00:05:58

how do you think what to add or not?

lokitwister · 2013-02-01 00:10:34

ya i got it till here, but what next to find x and y?

bobbym · 2013-02-01 00:17:53

how do you think what to add or not?

Just trying to get it into the form of all the variables on the left and all the numbers on the right so we can make the next bunch of moves.

lokitwister · 2013-02-01 00:26:23

ok, but what will be the next step to find x value?

bobbym · 2013-02-01 00:32:45

We would like to subtract or add the bottom equation from the top one and make one variable disappear. But when I do that 2x - 3x = x, that did not disappear and y + (-2y) = y so no luck there either.

If I multiply the top equation by 3 I get

Now if I multiply the second equation by 2 I get

So I have changed the equations again to

lokitwister · 2013-02-01 00:43:45

Thanks, here i will find y

bobbym · 2013-02-01 00:45:43

Can you finish now or do you want me to do more?

Where did he go?

Math Is Fun Forum

#1 2013-01-31 23:28:28

3x-2y=1 how to find the value of x and y?

#2 2013-01-31 23:29:44

Re: 3x-2y=1 how to find the value of x and y?

#3 2013-01-31 23:31:29

Re: 3x-2y=1 how to find the value of x and y?

#4 2013-01-31 23:33:06

Re: 3x-2y=1 how to find the value of x and y?

#5 2013-01-31 23:33:28

Re: 3x-2y=1 how to find the value of x and y?

#6 2013-01-31 23:36:45

Re: 3x-2y=1 how to find the value of x and y?

#7 2013-01-31 23:38:44

Re: 3x-2y=1 how to find the value of x and y?

#8 2013-01-31 23:41:45

Re: 3x-2y=1 how to find the value of x and y?

#9 2013-01-31 23:45:23

Re: 3x-2y=1 how to find the value of x and y?

#10 2013-01-31 23:47:35

Re: 3x-2y=1 how to find the value of x and y?

#11 2013-01-31 23:58:23

Re: 3x-2y=1 how to find the value of x and y?

#12 2013-02-01 00:05:58

Re: 3x-2y=1 how to find the value of x and y?

#13 2013-02-01 00:10:34

Re: 3x-2y=1 how to find the value of x and y?

#14 2013-02-01 00:17:53

Re: 3x-2y=1 how to find the value of x and y?

#15 2013-02-01 00:26:23

Re: 3x-2y=1 how to find the value of x and y?

#16 2013-02-01 00:32:45

Re: 3x-2y=1 how to find the value of x and y?

#17 2013-02-01 00:43:45

Re: 3x-2y=1 how to find the value of x and y?

#18 2013-02-01 00:45:43

Re: 3x-2y=1 how to find the value of x and y?

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