Respuesta :
[tex]\frac{w+14}{4w+6} = \frac{3}{4}[/tex]
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:
[tex] \boxed{ \boxed{ \bold{ \purple{4.75}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{w + 14}{4w + 6} = \frac{3}{4} }[/tex]
Apply cross product property
⇒[tex] \sf{4(w + 14) = 3(4w + 6) }[/tex]
Distribute 4 through the parentheses
Similarly, Distribute 3 through the parentheses
⇒[tex] \sf{4w + 56 = 12w + 18}[/tex]
Move variable to left hand side and change it's sign
Move constant to right hand side and change it's sign
⇒[tex] \sf{4w - 12w = 18 - 56}[/tex]
Collect like terms
⇒[tex] \sf{ - 8w = 18 - 56}[/tex]
Calculate
⇒[tex] \sf{ - 8w = - 38}[/tex]
Divide both sides of the equation by -8
⇒[tex] \sf{ \frac{ - 8w}{ - 8} = \frac{ - 38}{ - 8} }[/tex]
Calculate
⇒[tex] \sf{w = 4.75}[/tex]
Hope I helped!
Best regards!!