1/3x-4=3/4x+1. 12(1/3x)-4=12(3/4x) + 1. 4x -4=9x + 1. -5=5x. X = -1 Solve
1 answer:
Answer:
x=-12
Step-by-step explanation:
To remove the denominator we take LCD
LCD of 3 and 4 is 12
In the second step we multiply the whole equation by 12 not only the fractions
Now the denominator gets removed
1/3 * 12 = 4 , also 3/4 times 12 = 3*3 = 9
4x - 48 = 9x + 12
Subtract 9x on both sides
-5x - 48 = 12
Now add 48 on both sides
-5 x = 60
Divide both sides by -5
so x= -12
The value of x= -12
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Answer:
<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>Step-by-step explanation:
We know
for any real value of <em>a</em>.
|a| = b > 0 - <em>two solutions: </em>a = b or a = -b
|a| = 0 - <em>one solution: a = 0</em>
|a| = b < 0 - <em>no solution</em>
<em />
|x + 6| - 4 = c
for c = 5:
|x + 6| - 4 = 5 <em>add 4 to both sides</em>
|x + 6| = 9 > 0 <em>TWO SOLUTIONS</em>
for c = -10
|x + 6| - 4 = -10 <em>add 4 to both sides</em>
|x + 6| = -6 < 0 <em>NO SOLUTIONS</em>
<em></em>
Calculate the solutions for c = 5:
|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 <em>subtract 6 from both sides</em>
x = 3 or x = -15
Answer: 10
<u>Step-by-step explanation:</u>
varies directly means:
Step 1: solve for k ⇒
Step 2: plug in the given value and k to solve for the missing value:
42(5) = 21(x)
2(5) = x
10 = x