Question

the second of two numbers is 1 more than twice the first. their sum is 25. find the numbers

Answer 1

So what are the two equations we can get from this?

Answer 2

y=x+2+1 ??
x+y+25

Answer 3

i mean X*2+1

Answer 4

Correct (and I assume you meant x + y = 25).

Answer 5

yes. lol

Answer 6

Ok, so how can you solve this system?

Answer 7

x+x*2+1=25

Answer 8

5x=25

Answer 9

Hm. Where did you get 5x from?

Answer 10

this is where i am having a prob. I get confused on what to add or multiply first

Answer 11

The easiest way is to group like terms (e.g, terms with x) and then go left to right.

For example, in this case they're already grouped:

x + 2x + 1 = 25

So we ask ourselves, what is x + 2x?

Answer 12

3x+1=25 ??

Answer 13

Right. So then what do you do to bring the 1 to the right?

Answer 14

-1

Answer 15

x=8

Answer 16

Perfect :)

Answer 17

y=17

Answer 18

how do I know if i am solving for x or y?

Answer 19

Right on.

Answer 20

You have to solve for both. For the first step, you just have to pick one.

Answer 21

I have a hard time with setting it up. sometimes I do X and sometimes it's y

Answer 22

As long as you make sure to keep referring to the same variable as x and y throughout, your result should make sense at the end. You can check it by going out to your very first equation and plugging in your answers and making sure that the numbers on both sides are actually equal.

Answer 23

thank you

Answer 24

No problem.