189k views
0 votes
Solve the proportion.

W+14/4w+6 =3/4

User Yemu
by
6.6k points

2 Answers

6 votes

Answer:


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

Explanation:


\sf{ (w + 14)/(4w + 6) = (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{ ( - 8w)/( - 8) = ( - 38)/( - 8) }

Calculate


\sf{w = 4.75}

Hope I helped!

Best regards!!

User Syph
by
6.5k points
6 votes


(w+14)/(4w+6) = (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 ❀

User Scaryrawr
by
6.4k points