2 MORE math questions.. (sorry, xD)?

Question

1) the sum of 2 #'s is -2. if twice the smaller # is added to 3 times the larger, the result is 1. Find both #'s.

2) helen has 2 more than twice as many stamps as Gail. If gail buys 10 more stamps, she and helen will have the same amount. How many stamps does each person have NOW?

thanks so much. xD (i really suck @ math. hehe)

Answer 1

1)
Let x be the smaller number and y be the larger number
x + y = -2
2x + 3y = 1

x = -2 - y
2(-2-y) + 3y = 1
-4 - 2y + 3y = 1
y = 5

x + (5) = -2
x = -7

2)
Let G be Gail's stamps and H be Helen's stamps
2G + 2 = H
G + 10 = H

2G + 2 = G + 10
G = 8

(8) + 10 = H
H = 18

Have some confidence.

Answer 2

Helen has 18 stamps, Gail has 8.

Answer 3

1)
x + y = -2
2x + 3y = 1

y = -2 - x
2x + 3(-2 - x) = 1
2x - 6 - 3x = 1
-x = 7

-7 + y = -2
y = 5

2)
y = 2x + 2
x + 10 = y

x = y - 10

y = 2(y - 10) + 2
y = 2y - 20 + 2
-y = -18
y = 18

x = 18 - 10
x = 8

Answer 4

Helen's stamps: x

Gail's stamps: y

So we have x=2y+2

and y+10=x

So 2y+2=y+10

y=8, x=18

Helen has 18 stamps, Gail has 8.


Edit: Apologies. That's what I get for reading too quickly.

I missed the "two more than." Solution has been edited accordingly.

Answer 5

Wow, I never had Yahoo answers when I was in high school. I had to ask the teacher if I didn't understand a question. Perhaps you should ask your teacher, make her earn her high salary and cushy benefit package. Besides, she'll help you get the right answer. You're taking a chance by asking people on Yahoo.

Answer 6

1)x+y = -2
2x+2y=-4...1st
2x +3y=1.2nd
solving both we get
y= 5
x = -7


2)g+10 = h
h=2g+2
so
g+10 =2g+2
g = 8

so now to be equal both shud hv 18 stamps