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If y + 1= 2015, for what positive integer w will 2y^2 + 2y = 2015w?

Respuesta :

Answer:

w = 4028

Step-by-step explanation:

Solve for y

[tex]y+1 = 2015[/tex]

[tex]y=2014[/tex]

Substitute 2014 for y then solve for w

[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]

[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]

[tex]w=4028[/tex]

Therefore, w must be 4028