How do you solve \frac { w - 3} { 3} = \frac { 2} { 5}?

2 Answers
May 14, 2017

w=21/5=4.2

Explanation:

Solve: (w-3)/3=2/5

We can cross-multiply:
5(w-3)=2(3)

Now, we can use the distributive property to distribute the 5:
5w-15=6

We can add 15 to both sides:
5w=15+6
5w=21

Finally, we divide both sides by 5:
w=21/5=4.2

May 14, 2017

color(brown)(w=21/5 or color(brown)(4 1/5

Explanation:

(w-3)/3=2/5

:.(5(w-3)=6)/15

:.(5w-15=6)/15

multiply L.H.S and R.H.S. by 15

:.5w-15=6

:.5w=6+15

:.5w=21

:.color(brown)(w=21/5 or color(brown)(4 1/5