absolute value equation
2/3x-5/-8=8
Can someone help do not understand
2|3x-5|-8 = 8.
Isolate the bracket:
2|3x-5| = 8+8
2|3x-5| = 16
Divide both sides by 2:
|3x-5| = 8
The number whose|8| can be +- 8:
3x-5 = +-8
3x = +-8 + 5
3x = 8+5 =13
X = 13/3.
3x = -8 + 5 = -3
X = -1.
Solution set: X = -1, and X = 13/3.
Sure! I can help you solve the absolute value equation step-by-step.
First, let's simplify the equation by getting rid of the fractions. To do this, we can multiply every term by the least common denominator of 3 and 8, which is 24. This will eliminate the fractions.
So the equation becomes:
24*(2/3)x - 24*(-5)/(-8) = 24*8
Next, simplify each term of the equation:
16x + 15 = 192
Now, let's isolate the absolute value term. Subtract 15 from both sides of the equation:
16x = 192 - 15
16x = 177
To solve for x, we need to remove the coefficient of 16 from the variable. We can do this by dividing both sides of the equation by 16:
x = 177 / 16
The final step is to simplify the fractional answer, if possible. In this case, the answer is already simplified, so x = 177 / 16 is the solution to the absolute value equation.
I hope this helps! Let me know if you have any further questions.
Sure, I can help you solve the absolute value equation.
The equation you've given is:
(2/3)x - 5 / -8 = 8
To start solving this equation, we need to isolate the absolute value expression.
First, multiply both sides of the equation by -8 to eliminate the fraction:
-8 * [(2/3)x - 5 / -8] = -8 * 8
This simplifies to:
(-8 * 2/3)x + 40 = -64
Next, simplify the left side of the equation:
(-16/3)x + 40 = -64
To eliminate the fraction, we can multiply both sides of the equation by the reciprocal of -16/3, which is -3/16:
(-3/16) * [(-16/3)x + 40] = (-3/16) * (-64)
Simplifying further, we get:
x - (3/4)(40) = 12
x - 30 = 12
Now, isolate x by adding 30 to both sides of the equation:
x - 30 + 30 = 12 + 30
This simplifies to:
x = 42
So, the solution to the absolute value equation is x = 42.