Question

Solve. check for extraneous solutions 3 l4w-1l -5 = 1

Answer 1

Answer: w

=

1

3

l

3

+

2

l

4

Step-by-step explanation: i hope this helps

Answer 2

Answer:

w = 3/4 or w = -1/4

Step-by-step explanation:

3l4w - 1l - 5 = 1

Add 5 to both sides.

3|4w - 1| = 6

Divide both sides by 3.

|4w - 1| = 2

Set the inside of the absolute value equal to 2 and -2.

4w - 1 = 2 or 4w - 1 = -2

Add 1 to both sides.

4w = 3 or 4w = -1

Divide both sides by 4.

w = 3/4 or w = -1/4

Check w = 3/4:

3l4w - 1l - 5 = 1

3|4(3/4) - 1| - 5 = 1

3|3 - 1| - 5 = 1

3|2| - 5 = 1

6 - 5 = 1

1 = 1

w = 3/4 works.

Check w = -1/4:

3l4w - 1l - 5 = 1

3|4(-1/4) - 1| - 5 = 1

3|-1 - 1| - 5 = 1

3|-2| - 5 = 1

3(2) - 5 = 1

6 - 5 = 1

1 = 1

w = -1/4 works.

There are no extraneous solutions.

Answer: w = 3/4 or w = -1/4