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

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Answer 1 · 2017-05-14T02:15:30

$w = \frac{21}{5} = 4.2$ $w=21/5=4.2$

Solve: $\frac{w - 3}{3} = \frac{2}{5}$ $(w-3)/3=2/5$

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

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

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

Finally, we divide both sides by $5$ $5$ :
$w = \frac{21}{5} = 4.2$ $w=21/5=4.2$

Answer 2 · 2017-05-14T02:27:29

$w = \frac{21}{5}$ $color(brown)(w=21/5$ or $4 \frac{1}{5}$ $color(brown)(4 1/5$

$\frac{w - 3}{3} = \frac{2}{5}$ $(w-3)/3=2/5$

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

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

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

$:.5w-15=6$

$:.5w=6+15$

$:.5w=21$

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

How do you solve \frac { w - 3} { 3} = \frac { 2} { 5}w−33=25\frac { w - 3} { 3} = \frac { 2} { 5}?