keenlearner keenlearner
  • 15-04-2022
  • Mathematics
contestada

Find the value of x + y, given that 9x^2 - 9y^2 = 72 and x - y = 1.5​

Respuesta :

Leora03
Leora03 Leora03
  • 15-04-2022

Answer:

 [tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\boxed{a^{2} -b^{2} = (a +b)(a -b)}[/tex]

9x² -9y²= 72

Factorise:

9(x² -y²)= 72

Divide both sides by 9:

x² -y²= 8

(x +y)(x -y)= 8

Given that x -y= 1.5,

(x +y)(1.5)= 8

Divide both sides by 1.5:

x +y= [tex]5\frac{1}{3}[/tex]

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