Identify the solution to the equation 2 |3x - 5| = 8

Question

byu independant study algebra 2 part 1 midcourse review

Answer 1

2 l 3x-5 l = 8

 

l 3x-5 l = 4

 

3x-5 = 4 or 3x-5 = -4

 

3x = 9 or 3x = 1

 

x = 3 or x = 1/3

Answer 2

Since it is absolute value on the left side, we must solve for two cases

 

3x - 5 = 8

 

x = 13/3 = 4 1/3

 

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3x - 5 = -8

 

3 x = -3

x = -1

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Solution is 4 1/3 and -1