Question

if x+y=6 and x-y=4 find (1)x^2+y^2 (2) xy
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Answer 1

Answer:

x+y=6 ---------(i)

x-y=4 ---------(ii)

Solving eq (i) and (ii) we  get  :-

x=5 and y=1

1)  x²+y²=(5)²+(1)²

x²+y²=25+1

x²+y²=26

2)xy=5×1

  xy=5

Answer 2

Step-by-step explanation:

• x+y=6...... 1
• x-y=4.......2

• Let's add 1 & 2

x+y=6

+

x-y=4.

2x= 10

x = 5

From equation 1

x+y=6

5+y=6

y=1

• 1). x^2+y^2

5^2 + 1^2

25+1=26

x^2+y^2=26

• 2)xy

5×1=5

xy=5