Question

x+y = 8; x–y = 6, then x2– y2 = _____​

Answer 1

Thanks for your question...

Your required answer :

Given :

• x + y = 8 ------ ( 1 )
• x - y = 6 ------ ( 2 )

To find :

• x² - y²

Solution :

By elimination method :

Add the equation :

• x + y = 8
• x - y = 6

+__+__+_

• 2x = 14
• x = 14/2
• x = 7

Now y =

• 7 + y = 8
• y = 1

Now final answer :

• x² - y²
• 7² - 1²
• 49 - 1
• 48

Brainliest Please

Answer 2

$x + y = 8 \\ x - y = 6 \\ (x + y)(x - y) = ( {x}^{2} - {y}^{2} ) \\ ( {x}^{2} - {y}^{2} ) = 8 \times 6 \\ ( {x}^{2} - {y}^{2} ) = 48$