Solve the equations. |4-\frac{1}{2}w|-\frac{1}{3}=\frac{1}{2}

aramutselv

aramutselv

Answered question

2021-12-09

Solve the equations.
|412w|13=12

Answer & Explanation

usaho4w

usaho4w

Beginner2021-12-10Added 39 answers

Step 1
Add 1/3 to both sides
|412w|13=12
|412w|=13+12
|412w|=56
Step 2
Then remove the absolute value sign using plus or minus sign and solve for w.
412w=±56
12w=4±56
w=2(4±56)
Step 3
Then we simplify w using plus sign
w=2(4+56)
w=2(196)
w=193
then we simplify w using the minus sign.
w=2(456)
w=2(296)
w=293
Answer: w=193,293

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