The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
<h3>What are the solutions to the given equation?</h3>
Given the equation in question;
|3x-7| - 7 = x
First, add 7 to both sides.
|3x-7| - 7 + 7 = x + 7
|3x-7| = x + 7
Next, remove the absolute value term, this creates a ± on the right side of the question.
|3x-7| = x + 7
3x-7 = ±( x + 7 )
The complete solution is the result of both the negative and positive portions of the solution.
For the first solution, use the positive of ±.
3x-7 = ( x + 7 )
3x - 7 = x + 7
3x - x = 7 + 7
2x = 14
x - 14/2
x = 7
For the second solution, use the negative of ±.
3x-7 = -( x + 7 )
3x-7 = -x - 7
3x + x = -7 + 7
4x = 0
x = 0/4
x = 0
Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
Learn to solve more equation involving absolute value term here: brainly.com/question/28635030
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<span>Justification
Step 1: Let a = b.
Step 2: Then a^2 = ab ,
Step 3: a^2 + a^2 = a^2 + ab ,
Step 4: 2a^2=a^2 + ab,
Step 5: 2a^2 - 2ab = a^2 + ab - 2ab,
Step 6: and 2a^2 - 2a^b = a^2 + ab - 2ab .
Step 7: This can be written as 2(a^2 - ab) = 1(a^2 - ab) ,
Step 8: and cancelling the (a^2 - ab) from both sides gives 1 = 2.</span>
Answer:
x : 32 = 9 : 4
4x = 288
x = 72
Step-by-step explanation:
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Also how does this drop down in mathematics?
