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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Answer:
4 baskets
Step-by-step explanation:
Since 170 divided by 46 equals 3 with a remainder of 32, you use the remainder,32, and change it to one more basket so 3+1=4 so Kira needs 4 baskets.
Answer:
Your answer is 4
Step-by-step explanation:
In one hour he made 4 boxes two hours he made 8 just add four from there
Answer:
<h2><em><u>-x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em></h2>
Step-by-step explanation:
<em><u>If</u></em><em><u>,</u></em>
x = -2
<em><u>Then</u></em><em><u>,</u></em>
-x = -(-2)
=> <em><u>-x = 2 (Ans)</u></em>
Answer:
y=3x+1=4
y=5x-1=4
Step-by-step explanation:
DO THE MATH
