Solve for w . Simplify?

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4 Answers
Feb 18, 2018

The value of w is -24.

Explanation:

As long as you perform the same operations on both sides of the equation, you can do whatever you want. First, multiply both sides by 8, then, divide both sides by -5.

-5/8w=15

-5/8w*8=15*8

-5/color(red)cancel(color(black)8)w*color(red)cancel(color(black)8)=15*8

-5w=15*8

-5w=120

w=120/(-5)

w=-24

Feb 18, 2018

w=-24

Explanation:

Step 1
The first priority is to isolate the variable w. To do this, we must divide both sides by -5/8.
(-5/8w)/(-5/8)=15/(-5/8)

Step 2
In order to simplify the left side of the equation, we can simply cancel the -5/8.
w=15/(-5/8)

Step 3
Now, we must simplify the right side of the equation. When dividing by a fraction, we can simply multiply by the fraction's reciprocal.
w=15*(-8/5)

Step 4
We simplify.
w=-24

Feb 18, 2018

w = - 24

Explanation:

- (5)/(8)w = 15    Solve for w

1) Clear the fraction by multiplying both sides by 8 and letting the denominator cancel
- 5w = 120

2) Divide both sides by -5 to isolate w
w = - 24

Answer:
w = - 24

Feb 18, 2018

w=-24

Explanation:

We have:
-5/8*w=15

Using the fact that a/b*c=(ac)/b, we can say that:

-5/8*w/1=15/1

=>-(5w)/8=15/1

Now, remember that:

If a/b=c/d, then:

ad=cb where b!=0 and d!=0

=>-(5w)/8=15/1

=>(-5w)/8=15/1

=>-5w=120 Divide both sides by -5.

=>w=-24