Answer: 18:27 I believe
Step-by-step explanation: There are 18 white socks and 27 black socks therfore the answer is 18:27
Infinite solutions because the value of x and y are unknown and there value can be anything , and that anything list contains lots of numbers .
x can take any value and y can take any value .
so <u>Infini</u><u>te</u><u> </u><u>Solu</u><u>tions</u>
Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
Answer: x = 157
Step-by-step explanation:
Switch sides:
Divide both sides by 6:
Simplify:
Answer:
Step-by-step explanation:
(1)
(2)
The initial condition is 
(3)
Infinitely many.
