Question

Solve the proportion.

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

Answer 1

`\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!!

Answer 2

`(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! ♡

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