Answer:
(- 2, - 1 ), (2, 1 )
Step-by-step explanation:
Given the 2 equations
x - 2y = 0 → (1)
x² - y² = 3 → (2)
Rearrange (1) expressing x in terms of y by adding 2y to both sides
x = 2y → (3)
Substitute x = 2y into (2)
(2y)² - y² = 3, that is
4y² - y² = 3
3y² = 3 ( divide both sides by 3 )
y² = 1 ( take the square root of both sides )
y = ± 
= ± 1
Substitute these values into (3) for corresponding values of x
y = - 1 ⇒ x = 2(- 1) = - 2 ⇒ (- 2, - 1 )
y = 1 ⇒ x = 2(1) = 2 ⇒ (2, 1 )
A-b is the answers
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In this item, we are given with the amounts of both the flour and sugar.
Part A:
First, we determine the total amount of recipes needed for the batch.
total amount = (4 1/5 cup) + (2 3/7 cup)
total amount = 232/35 cup
To determine the total amount of sugar needed for 4/9 of the recipe, we multiply the given amount of sugar by 4/9. That is,
amount of sugar = (4/9)(2 3/7)
<em> amount of sugar = 68/63 cups of sugar</em>
Part B: To determine the amount of flour needed is 3 times the given amount for each batch.
amount of flour = (3)(4 1/5 cups of flour)
<em> amount of flour = 63/5 cups or 12.6 cups of flour</em>
A
Because of 3 adults bought 3 tickets, 9 x 3. 9(3)
4 students bought 4 tickets, 4 x 5, 4(3)
