A. 3x + y = 13 → 15x + 5y = 65
x - 5y = 15 → x - 5y = 15
16x = 80
16 16
x = 5
x - 5y = 15
5 - 5y = 15
- 5 - 5
-5y = 10
-5 -5
y = -2
(x, y) = (5, -2)
b. 6x - y = 14
2x + y = 12
8x = 26
8 8
x = 3¹/₄
6x - y = 14
6(3¹/₄) - y = 14
19¹/₂ - y = 14
- 19¹/₂ - 19¹/₂
-y = -5¹/₂
-1 -1
y = 5¹/₂
(x, y) = (3¹/₄, 5¹/₂)
c. 3x - 4y = 22 → 15x - 20y = 110
2x + 5y = 7 → 8x + 20y = 28
23x = 138
23 23
x = 6
3x - 4y = 22
3(6) - 4y = 22
18 - 4y = 22
- 18 - 18
-4y = 4
-4 -4
y = -1
(x, y) = (6, -1)
Answer:
Option D is correct.
$408.04 the gas would cost for this car to travel 2,727 typical miles
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1 such as 3 miles per second or 4 kilometer per hour
As per the statement:
A car averages 27 miles per gallon.
⇒
Total distance of car travel typical miles = 2727 miles.
Substitute the given values we have;
It is also given that if gas costs $4.04 per gallon.
then;
In 1 gallon of gas = $4.04
then;
in 101 gallons of gas = 
Therefore, $408.04 the gas would cost for this car to travel 2,727 typical miles
Answer:
A. point-slope form
Step-by-step explanation:
In general, the equation in point-slope form will give an expression that can substitute for "y", as that form is ...
y = [something]
_____
In specific instances, the other forms of the linear equations may work, but that is not guaranteed.
So for every 9 star beads you have, you have 6 moon beads. The rule is dividing.
6 divided by two (because we have two moon beads) is 3.
9 divided by three (because that's the answer to the first part) is 3.
So there are 3 star beads.
