What is h?
maybe 25%
i hope it helped you sorry if it didn't
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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Answer:
y = 50 + 25x.............(i)
y = 80 + 15x.............(ii)
x = 3
y = 125
Step-by-step explanation:
The tucker Gym charges a one time fee of $50 plus a $25 monthly membership charge.
The NoFo health club charges a one time fee of $80 plus a $15 monthly membership fee.
Let
number of month = x
total cost = y
Tucker Gym
y = 50 + 25x.............(i)
NoFo Gym
y = 80 + 15x.............(ii)
combining the equation
y = 50 + 25x.............(i)
y = 80 + 15x.............(ii)
y - 50 = 25x
y/25 - 2 = x
insert x in equation (ii)
y = 80 + 15(y/25 - 2)
y = 80 + 3y/5 - 30
y = 50 + 3y/5
y - 3y/5 = 50
5y - 3y/5 = 50
2y/5 = 50
cross multiply
2y = 250
y = 250/2
y = 125
insert y in equation (i)
125 = 50 + 25x
125 - 50 = 25x
75 = 25x
x = 75/25
x = 3