Question

5/6 = 10/ W+3 solve for W

Answer 1

Answer:

$\huge\boxed{w=9}$

Step-by-step explanation:

In order to solve for w here, let's write the proportion.

$\frac{5}{6} = \frac{10}{w+3}$

To solve for w, we need to get it isolated on one side of the equation. To do this, we can first multiply both sides by 6 and w+3 in order to get rid of the denominators.

• $\frac{5}{6} \cdot 6 \cdot w+3 = \frac{10}{w+3} \cdot (w+3) \cdot6$
• $5(w+3) = 60$
• $5w+15 = 60$
• $5w = 45$
• $w = 9$

Therefore, w=9.

Hope this helped!

Answer 2

Equation given:

$\boxed{ \bf{} \frac{5}{6} = \frac{10}{w + 3} }$

Easy right?

so let's solve it:

$\implies \sf \dfrac{5}{6} = \dfrac{10}{w + 3}$

$\implies \sf 5(w + 3) = 10 \times 6$

$\implies \sf 5w + 5 \times 3=60$

$\implies \sf 5w + 15=60$

$\implies \sf 5w=60 - 15$

$\implies \sf 5w=45$

$\implies \sf w = \dfrac{45}{5}$

$\implies \sf w = \cancel{\dfrac{45}{5} }$

$\implies \boxed{ \sf w = 9}$

Now Let's Verify whether value of w is correct or not

$\implies \sf \dfrac{5}{6} = \dfrac{10}{w + 3}$

put value of w in this equation

$\implies \sf \dfrac{5}{6} = \dfrac{10}{9 + 3}$

$\implies \sf \dfrac{5}{6} = \dfrac{10}{12}$

$\implies \sf \dfrac{5}{6} = \dfrac{5}{6}$

$\rm{}RHS=LHS$

hence verified

.°. value of w= 9