Solution to equation
for all real values of x is 
.
<u>Step-by-step explanation:</u>
Here we have , . Let's solve :
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⇒ 
⇒ 
By quadratic formula :
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⇒ 
⇒ 
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⇒ 
⇒ 
But at 
we have equation undefined as 
. Hence only solution is :
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Since , 
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Now , General Solution is given by :
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Therefore , Solution to equation for all real values of x is .
|y-9|=6
y-9=6
y-9=-6
y=15
y=3
So, y=15,3
Answer:
The answer is x = 8/5
Step-by-step explanation:
6 - 5x + 2 = 3x - 12 + 2x
4 - 5x = 5x - 12
4 = 10x - 12
16 = 10x
8/5 = x
Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45
