X=small bag
y=large bag
5x+3y=260
4x+2y=200
(5x+3y=260)*4 =20x+12y=1040
(4x+2y=200)*5 =20x+10y=1000
subtract two equations: 2y=40
divide: y=20
plug y in 5x+3*20=260
simplify x=40
small bag=$40
large bag=$20
<h2>
Answer:</h2>
For a real number a, a + 0 = a. TRUE
For a real number a, a + (-a) = 1. FALSE
For a real numbers a and b, | a - b | = | b - a |. TRUE
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
<h2>Explanation:</h2>
- <u>For a real number a, a + 0 = a. </u><u>TRUE</u>
This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is
, so it is true that:

- For a real number a, a + (-a) = 1. FALSE
This is false, because:

For any number
there exists a number
such that 
- For a real numbers a and b, | a - b | = | b - a |. TRUE
This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

- For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
This is false. By using distributive property we get that:

- For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
A rational number is a number made by two integers and written in the form:
Given that
are rational, then the result of dividing them is also a rational number.
Answer:
Both of them are correct.
The table and the graph given is correct.
Set up a system of equations:
s = 2d - 5
s + d = 43
Where 's' represents the number of points Stilt scored and 'd' represents the number of points Dunk scored.
Plug in 2d - 5 for 's' in the 2nd equation:
s + d = 43
2d - 5 + d = 43
Combine like terms:
3d - 5 = 43
Add 5 to both sides:
3d = 48
Divide 3 to both sides:
d = 16
Plug this back into any of the two equations to find 's':
s + d = 43
s + 16 = 43
Subtract 16 to both sides:
s = 27
So Dunk scored 16 points and Stilt scored 27 points.