Answer:
x₁ = 4
x₂ = 2
Step-by-step explanation:
x² - 6x + 8 = 0
x² - 2x - 4x + 8 = 0
x(x - 2) - 4(x - 2) = 0
(x - 4)(x - 2) = 0
x - 4 = 0 => x₁ = 4
x - 2 = 0 => x₂ = 2
Start with
![\dfrac{5-2x}{3}+1-\dfrac{3x-2}{5}=-x](https://tex.z-dn.net/?f=%5Cdfrac%7B5-2x%7D%7B3%7D%2B1-%5Cdfrac%7B3x-2%7D%7B5%7D%3D-x)
Multiply both sides by 15 to get rid of denominators:
![5(5-2x)+15-3(3x-2)=-15x](https://tex.z-dn.net/?f=5%285-2x%29%2B15-3%283x-2%29%3D-15x)
Expand the left hand side:
![25-10x+15-9x+6=-15x](https://tex.z-dn.net/?f=25-10x%2B15-9x%2B6%3D-15x)
Move all terms involving x to the left and all numbers to the right:
![-10x-9x+15x=-25-15-6](https://tex.z-dn.net/?f=-10x-9x%2B15x%3D-25-15-6)
Sum like terms:
![-4x=-46](https://tex.z-dn.net/?f=-4x%3D-46)
Divide both sides by -4:
![x=\dfrac{46}{4}=\dfrac{23}{3}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B46%7D%7B4%7D%3D%5Cdfrac%7B23%7D%7B3%7D)
Answer:
11
Step-by-step explanation:
Put 3 where x is and do the arithmetic.
g(x) = 3x +2
g(3) = 3·3 +2 = 9 +2
g(3) = 11
Answer:
Bunnies= 13 Chickens=28
Step-by-step explanation:
Let's put
x = bunnies------4 legs
y = chickens-----2 legs
x + y = 41----------------x= 41-y
4x+ 2y = 108
replace in 2nd equation
4(41 - y) + 2y = 108
164 - 4y + 2y = 108
2y = 56
y = 56/2= 28
x = 41 - 28= 13
Answer:
george is 7 and 6 months old
Step-by-step explanation: