Answer:
x=6 or x= -2
Step-by-step explanation:
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Answer:
25% or 0.25
Explanation:
Based on the given conditions, formulate: 2 divided by 8
Reduce the fraction: 1/4
get the result: 25% or 0.25
Answer: 25% or 0.25
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![\bf Step-by-step~explanation:](https://tex.z-dn.net/?f=%5Cbf%20Step-by-step~explanation%3A)
![\bf Step~1:](https://tex.z-dn.net/?f=%5Cbf%20Step~1%3A)
To solve this, we have to simplify these numbers by adding like terms.
![42x^2+34-8-12\\\\(34-8=26, 26-12=14)\\\\42x^2+14\\](https://tex.z-dn.net/?f=42x%5E2%2B34-8-12%5C%5C%5C%5C%2834-8%3D26%2C%2026-12%3D14%29%5C%5C%5C%5C42x%5E2%2B14%5C%5C)
![\bf Step~2:](https://tex.z-dn.net/?f=%5Cbf%20Step~2%3A)
Next, we factor our expression. To do so, we look for the greatest common factor of 42 and 14, which is 14. We know that because 42 divided by 14 is 3.
![\frac{42}{14} =3](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7B14%7D%20%3D3)
![\boxed{ \bf Our~final~answer: 14(3x^2 + 1)}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5Cbf%20Our~final~answer%3A%2014%283x%5E2%20%2B%201%29%7D)
To get the answer we can subsittute first equation into second.
x+6y=20
y+6+6y=20
6+7y=20 /-6
7y=14 /:2
y=2
Now we can back substitute
x=y+6
x=2+6
x=8
Finally we get
x=8
y=2
Answer:
t = -5
Step-by-step explanation:
Solve for t:
5 (t - 3) - 2 t = -30
Hint: | Distribute 5 over t - 3.
5 (t - 3) = 5 t - 15:
5 t - 15 - 2 t = -30
Hint: | Group like terms in 5 t - 2 t - 15.
Grouping like terms, 5 t - 2 t - 15 = (5 t - 2 t) - 15:
(5 t - 2 t) - 15 = -30
Hint: | Combine like terms in 5 t - 2 t.
5 t - 2 t = 3 t:
3 t - 15 = -30
Hint: | Isolate terms with t to the left hand side.
Add 15 to both sides:
3 t + (15 - 15) = 15 - 30
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
3 t = 15 - 30
Hint: | Evaluate 15 - 30.
15 - 30 = -15:
3 t = -15
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 t = -15 by 3:
(3 t)/3 = (-15)/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
t = (-15)/3
Hint: | Reduce (-15)/3 to lowest terms. Start by finding the GCD of -15 and 3.
The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:
Answer: t = -5