Question

Solve the proportion. W+14/4w+6 =3/4

Answer 1

$\frac{w+14}{4w+6} = \frac{3}{4}$

So do cross multiplication.

4×(w+14)=4w+56

3×(4w+6)=12w+18

4w+56=12w+18

Carry the 4w to the right side, and the 18 to the left

56-18=12w-4w

38=8w

w=4 3/4

Sorry if this is not what you were asking for.

♡  But anyways, I Hope this helped! ♡

❀ 0ranges ❀

Answer 2

Answer:

$\boxed{ \boxed{ \bold{ \purple{4.75}}}}$

Step-by-step explanation:

$\sf{ \frac{w + 14}{4w + 6} = \frac{3}{4} }$

Apply cross product property

⇒$\sf{4(w + 14) = 3(4w + 6) }$

Distribute 4 through the parentheses

Similarly, Distribute 3 through the parentheses

⇒$\sf{4w + 56 = 12w + 18}$

Move variable to left hand side and change it's sign

Move constant to right hand side and change it's sign

⇒$\sf{4w - 12w = 18 - 56}$

Collect like terms

⇒$\sf{ - 8w = 18 - 56}$

Calculate

⇒$\sf{ - 8w = - 38}$

Divide both sides of the equation by -8

⇒$\sf{ \frac{ - 8w}{ - 8} = \frac{ - 38}{ - 8} }$

Calculate

⇒$\sf{w = 4.75}$

Hope I helped!

Best regards!!