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When StartFraction 2 x squared Over y EndFraction = StartFraction w + 2 Over 4 EndFraction is solved for w, one equation is w = StartFraction 8 x squared Over y EndFraction minus 2 Which of the following is an equivalent equation to find w? w = StartFraction 8 x squared + 2 y Over y EndFraction w = StartFraction 8 x squared minus 2 y Over y EndFraction w = 8 x squared minus 3 y w = 8 x squared minus y

Respuesta :

semsee45

Answer:

[tex]w=\dfrac{8x^2-2y}{y}[/tex]

Step-by-step explanation:

Question

[tex]\textsf{When}\:\dfrac{2x^2}{y}=\dfrac{w+2}{4}\:\textsf{is solved for}\:w,\:\textsf{one equation is}\:w=\dfrac{8x^2}{y}-2[/tex]

Which of the following is an equivalent to find w?

[tex]w=\dfrac{8x^2+2y}{y}[/tex]

[tex]w=\dfrac{8x^2-2y}{y}[/tex]

[tex]w=8x^2-3y[/tex]

[tex]w=8x^2-y[/tex]

Solution

[tex]\textsf{Given}: \quad w=\dfrac{8x^2}{y}-2[/tex]

[tex]\implies w=\dfrac{8x^2}{y}-\dfrac{2y}{y}[/tex]

[tex]\implies w=\dfrac{8x^2-2y}{y}[/tex]

[tex]\\ \rm\Rrightarrow w=\dfrac{8x^2}{y}-2[/tex]

  • Take LCM as y

[tex]\\ \rm\Rrightarrow w=\dfrac{8x^2-2y}{y}[/tex]

Option B is correct

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