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Reptile [31]
3 years ago
5

For solve |2x-2|=6 for x X= ​

Mathematics
2 answers:
abruzzese [7]3 years ago
8 0

Answer:

  • x = 4
  • x = -2

Step-by-step explanation:

<u>Solving for x</u>

  • |2x-2|=6

<u>1. 2x - 2 ≥ 0 ⇒ 2x ≥ 2 ⇒ x ≥ 1</u>

  • 2x - 2 = 6
  • 2x = 8
  • x = 4

<u>2. 2x - 2 < 0 ⇒ 2x < 2 ⇒ x < 1</u>

  • 2x - 2 = -6
  • 2x = -4
  • x = -2
irga5000 [103]3 years ago
5 0

Answer:

x  =  6 ,  − 6

Step-by-step explanation:

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If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num
weeeeeb [17]

Answer:

<h2>x = 0, y = 5, z = 3</h2>

Step-by-step explanation:

x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right

\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right

\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

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3 years ago
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A team won 6 hockey matches and lost 9 matches. what per cent of the matches did the team win​
Mama L [17]

Answer:

66.67%

Step-by-step explanation:

total matches = 9

matches won = 6

percentage = matches won*100/ total matches

percentage = 600/9

= 66.67%

7 0
3 years ago
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musickatia [10]

Answer and Step-by-step explanation:

(\frac{1.25 - x}{1.25x} ) * 100\\\\\\(\frac{1.25}{1.25x} - \frac{x}{1.25x} ) * 100\\\\(\frac{1}{x} - \frac{1}{1.25} ) * 100\\\\\frac{100}{x} - 80\\\\\\

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andre [41]
Let b and s be the velocity of the boat and stream respectively....

3(b-s)=27

b-s=9

b=9+s  we will use this in the second equation....

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2s+9=15

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b=12

So the speed of the boat is 12mph and the stream is 3 mph
6 0
3 years ago
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