Answer:
(- 5, 0), (3, 4)
Step-by-step explanation:
Given the 2 equations
2y - x = 5 → (1)
x² + y² - 25 = 0 → (2)
Rearrange (1) expressing x in terms of y
x = 2y - 5 → (3)
Substitute x = 2y - 5 into (2)
(2y - 5)² + y² - 25 = 0 ← expand parenthesis and simplify
4y² - 20y + 25 + y² - 25 = 0
5y² - 20y = 0 ← factor out 5y from each term
5y(y - 4) = 0
Equate each factor to zero and solve for y
5y = 0 ⇒ y = 0
y - 4 = 0 ⇒ y = 4
Substitute these values into (3) for corresponding values of x
y = 0 : x = 0 - 5 = - 5 ⇒ (- 5, 0)
y = 4 : x = 8 - 5 = 3 ⇒ (3, 4)
Answer:
$10, $20, $30
Step-by-step explanation:
So, the equation you have set up already, y = 2x + 10, models the cost of the membership and movies, with y as the total cost, and x as the number of movies. Here we can just plug in the x values to get the total costs. If x is 0, we get $10 total, if it is 5, we get $20 total, and if it is 10, we get $30 total.
Answer:
125
Step-by-step explanation:
125 ÷ 3 = 41 2/3 so 125 is not divisible by 3
The answer is 6.
22 x 2 = 44
56 - 44 = 12
12 / 2 = 6.