Answer:
( 
, - 
)
Step-by-step explanation:
given the 2 equations
2x + 3y = - 4 → (1)
4x - y = 11 → (2)
Rearrange (2) expressing y in terms of x, that is
y = 4x - 11 → (3)
Substitute y = 4x - 11 into (1)
2x + 3(4x - 11) = - 4
2x + 12x - 33 = - 4
14x - 33 = - 4 ( add 33 to both sides )
14x = 29 ( divide both sides by 14 )
x =
Substitute this value into (3) for corresponding value of y
y = (4 × ) - 11 = 
- 
= - 
= -
solution is ( , - )
taking n = 5,
then A5 =
therefore, the fifth term is 2.
7 is the distance between the two points
The answer is 30 ! Sub 3 and that's what you're answer should be
Answer: 5 nights
Step-by-step explanation: Mr. Gareth's Entertainments has a one time fee of $5.00, then charges $0.50 per night for a game, while Ben's Video shack charges $1.50 to rent a video game for a night. We can set up equations for both places. We can let x = the amount of nights the game is being rented for. Mr. Gareth's Entertainments = $0.50x + $5.00 because $0.50 is being charged every night and $5.00 was charged only once. Ben's Video shack = $1.50x. We can make the equations equal to eachother, so $1.50x = $0.50x + $5.00
We can subtract by $0.50x both sides to make it so only one side will have x. This will make the equation easier to solve. By subtracting $0.50x from both sides, we get $1.00x = $5.00. Since we made x = the amount of nights the game is being renmted for, we know x = 5, so it would take 5 nights.
We can double check. $1.50 * 5 = $7.50
$0.50 * 5 = $2.50
$2.50 + $5 = $7.50
