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How to solve 2|z+1|-3=z-2?

+3 votes
Please show steps!!!
asked Jan 25, 2013 in ALGEBRA 1 by anonymous Apprentice

1 Answer

+5 votes

The given expression is  2|z+1| -3 = z -2

add 3 to each side

2|z+1| = z + 1

Divide each side by 2

|z+1| = (z + 1)/2

remove absolute value brackets and write two equations

z+1 = (z + 1)/2 -----(1)  :   z+1 = -(z + 1)/2

solve fist equation z+1 = (z + 1)/2

2z + 2 = z + 1

z + 1 = 0

z = -1

solve second equation z+1 = -(z + 1)/2

2z + 2 = - z - 1

3z = -3

z = -1

The value of  z  is -1

I hopeit helps

answered Jan 25, 2013 by Naren Answers Apprentice
edited Jan 25, 2013 by steven

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