A=abby's shirts
b=bik's shirts
c=cari's shirts
d=dawn's shirts
e=ellen's shirts
a> everybody
b=2.5c
d=(1/3)c
a+b+c+d=120
e=2d+1
e=13
oook
e=13=2d+1
13=2d+1
12=2d
d=6
d=(1/3)c
6=(1/3)c
18=c
b=2.5c
b=2.5(18)
b=45
a+b+c+d=120
a+45+18+6=120
a+69=120
a=51
Each teacher should receive 108 pencils
- the type of pair is vertical angle.
- to find x:
-- vertical angles are equal.
4x + 10 = 5x - 1
10 = x - 1
x = 11
Answer:
23) x= 3, y = 4
24) Any (x,y) values where x = 1.5 - 2y
Step-by-step explanation:
For the first system(23), it goes like this
[1 2 | 7]
[2 1 | 8]
We need to do L2 = L2 - 2L1, so now it is
[1 2 | 7]
[0 -3 |-6]
So, now we have:
-3y = -6 *(-1)
3y = 6
y = 2
x + 2y = 7
x + 4 = 7
x = 3
Now for system 24, we have:
[-1 2 | 1.5]
[2 -4| 3]
We do L2 = L2 + 2L1, so we have:
[-1 2 | 1.5]
[0 0| 0]
So there are infinite solutions for this system. The solution for this system will be each (x,y) pair where x = 1.5 - 2y.
