The solution of the equation is x = -4/3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
Learn more about solving equations here:
brainly.com/question/18015090
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<1 = 120/2 = 60
answer
60 <span>degrees</span>
Answer:
4:50 P.M.
Step-by-step explanation:
Sorry I don't know how to properly explain it but I just added 50 minutes to 4 o' clock to get the answer.
Hope this helps!
Maybe brainliest?
Answer: As the dough rises, the distance between the raisins increases, indicating that the galaxies are moving apart.
Step-by-step explanation:
4+2^2
=4+(2×2)
=4+(4)
=4+4
=8
or
(4+2)^2
=(4+2) × (4+2)
=16+8+8+4
=36
hope this helps!! please make my answer brainliest to help me out, thx!!
