G

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3x + 2y = 2

2x-y=5

-2x -2x

y=-2x+5

3x+2(2x+5)=2

3x+4x+10=2

7x+10=2

-10 -10

7x=-8

7 7

x=8/7

2(8/7)-y=5

16/7-y=5

-16/7 -16/7

-y=5-16/7 I'm stuck!!

G

3x + 2y = 2

2x-y=5

-2x -2x

y=-2x+5

3x+2(2x+5)=2

3x+4x+10=2

7x+10=2

-10 -10

7x=-8

7 7

x=8/7

2(8/7)-y=5

16/7-y=5

-16/7 -16/7

-y=5-16/7 I'm stuck!!

G

-y=5-16/7

-y=4 1/7

-1 -1

y=-4 1/7?????

-y=4 1/7

-1 -1

y=-4 1/7?????

G

I don't have a problem making them both fractions. I tried to simplify by subtracting 16/7 from 5 and then I divided by -y to make it positive. I guess that was incorrect.

How should I proceed?

You should proceed by going back to beginning; you have:bethany3168 said:I don't have a problem making them both fractions. I tried to simplify by subtracting 16/7 from 5 and then I divided by -y to make it positive. I guess that was incorrect.

How should I proceed?

2x – y = 5

3x + 2y = 2

2x-y=5

-2x -2x

y=-2x+5

That should be y = 2x - 5

G

But I have to solve for y with a number and then check the number solutions to make sure they work. ?

OK; your 2 equations:

2x – y = 5 [1]

3x + 2y = 2 [2]

[1]: y = 2x - 5

Substitute that in [2]:

3x + 2(2x - 5) = 2

3x + 2x - 10 = 2

5x = 12

x = 12/5

Substitute that in [1]:

2(12/5) - y = 5

24/5 - y = 5

y = 24/5 - 5

y = 24/5 - 25/5

y = -1/5

[1] says that 2x - y = 5

let's see:

2(12/5) - (-1/5)

= 24/5 + 1/5

= 25/5

= 5 : Bingo! OK??????????????????????????

G

I guess I don't understand. Sorry. Math does not come easily to me. I have to struggle through each problem. I am happy this site is here to offer assistance, I really hate asking for help but I just don't understand.

I don't see how 2x-y=5 is y=2x-5

I subtracted 2x from each side which is what I thought I was suppose to do. By doing that, it makes the 2x negative. Then I have the -y to deal with don't I?

G

Okay, I understand the first equation.

Now, why on the second equation is

3x+2(2x-5)=2 not 3x+4x-10?

The tutor shows it as 3x+2x-10=2

Sorry to be so thickheaded, but if I don't break it down I will never understand it.

Yaggot me Bethany!bethany3168 said:Okay, I understand the first equation.

Now, why on the second equation is

3x+2(2x-5)=2 not 3x+4x-10?

The tutor shows it as 3x+2x-10=2

Sorry to be so thickheaded, but if I don't break it down I will never understand it.

I goofed...you're correct, of course...apologies for confusing you...

Correcting what I did:

Substitute that in [2]:

3x + 2(2x - 5) = 2

3x + 4x - 10 = 2

7x = 12

x = 12/7

Substitute that in [1]:

2(12/7) - y = 5

24/7 - y = 5

y = 24/7 - 5

y = 24/7 - 35/7

y = -11/7

[1] says that 2x - y = 5

let's see:

2(12/7) - (-11/7)

= 24/7 + 11/7

= 35/7

= 5 : Bingo! OK??????????????????????????

By the way, another way to handle stuff like:

2x - y = 5 : what is y?

you can move a term from one side of equal sign to the other side

by changing the sign of the term you're moving; like this:

2x = 5 + y : the y is moved, changing sign from - to +

2x - 5 = y : the 5 is moved, changing sign from + to -

A li'l example to convince you:

13 - 6 = 7

13 = 7 + 6

or:

13 + 6 = 19

13 = 19 - 6

Yokay?

Don't let something like "2x" scare you: 2x is simply a number.

G

It sure is easy to do isn't it! :wink:

I will forever be grateful to all of you for getting me through this! I apoligize for taking up so much of your time.

Hope you all have a wonderful day.