Answer:
(- 3, - 6 ) , (1, 2 )
Step-by-step explanation:
2y = 4x ( divide both sides by 2 )
y = 2x → (1)
x² + y = 3 → (2)
Substitute y = 2x into (2)
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute theses values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
The solutions are
1. If A=B implies c = then A ∪ B = B
<span>2. If B is inside A </span><span>e = then A ∩ B = B
</span>3. A ∪ Ø implies d = A
4. A ∩ Ø imiplies <span>a = Ø
</span>5. B ∪ Ø implies b = B
Answer:
Ralph had 600 tomato plants in the beginning.
Step-by-step explanation:
Consider the provided information.
let x is the number of units.
The number of tomato plants in Inessa's garden is 5x
The number of tomato plants in Ralph's garden is 6x
It is given that half of Inessa's tomato plants are taken from her garden and replanted into Ralph's garden.
Therefore,
1/2 × (5x)
After replanted Ralph’s garden had 850 tomato plants.
Therefore,
(1/2)(5x) + 6x = 850
5x + 12x = 1700
17x = 1700
x = 100
The number of tomato plants in Ralph's garden is 6x.
Substitute the value of x in 6x.
6(100)=600
Hence, Ralph had 600 tomato plants in the beginning.
Solve 2x+3=15.
Example Answer
x=6
pacey = x
alex = 2x
paul = 3x
x + 2x + 3x = 342
6x =342
x = 342 / 6
x = 57
Pacey's fish = 57 pounds
Alex's fish = 57*2 = 114 pounds
Pauls fish = 57*3 = 171 pounds