Answer:
c
Step-by-step explanation:
1.) move all terms that are not x to the right side.of the inequalities.
10+x≤20 <u>4x</u>≥<u>-24</u>
-10 -10 4 4
x≤10 x≥-6
2.) combine the two equations to make -6≤x≤10
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x + y = 1 → (1)
ax - by = c → (2)
In (1) subtract y from both sides
x = 1 - y → (3)
Substitute x = 1 - y into (2)
a(1 - y) - by = c ← distribute left side
a - ay - by = c ( subtract a from both sides )
- ay - by = c - a ( multiply through by - 1 )
ay + by = a - c ← factor out y from each term on the left side
y(a + b) = a - c ← divide both sides by (a + b)
y =
← substitute into (3)
x = 1 -
=
-
=
= 
Answer:
63 books per capita in the library
<em></em>
Step-by-step explanation:
Given


Required
Determine the book per capita
To do this, we simply divide the number of books by number of person;





(Approximated)
Hence;
<em>There are 63 books per capita in the library</em>
12 cards : $0.25
8 cards : $0.15
-3y = -2x -6
Y= 2/3x + 2
When x= 3
Y= 2/3(3) + 2
Y= 2+2 = 4
(3,4)
When x= 6
Y=2/3(6)+2
Y= 4+2 = 6
(6,6)
When x= 12
Y= 2/3(12) + 2
Y= 8+2=10
(12,10)