Question

x²-y²=7 and x-y=2 then find the value x​

Answer 1

Answer:-

x² - y² = 7

(x + y) (x - y) = 7 ••••• (i)

x - y = 2 ••••• (ii)

Put equation (ii) in (i)

(x + y) 2 = 7

x + y = 7/2

x + y = 3.5 ••••• (iii)

Solving equation (ii) and (iii) we get,

2x = 5.5

x = 5.5/2

x = 2.75 , put in equation (ii)

x - y = 2

y = x - 2

y = 2.75 - 2

y = 0.75

Hence, x = 2.75 and y = 0.75

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Answer 2

Answer:

$\huge\longrightarrow\boxed {x = 2.75}$

Step-by-step explanation:

Given:-

$\sf\bold {{x}^{2} - {y}^{2} = 7} \: ........(i)\\ \\ \bold {x - y = 2} \: ........(ii)$

Using Basic Identity :-

$\longrightarrow\sf{a}^{2} - {b}^{2} = (a + b)(a - b)$

Using this identity in equaltion (i) :-

$\sf(x + y)(x - y) = 7$

Using (ii) in (i)

$\sf(x + y)2 = 7 \\ \\ \longrightarrow (x + y) = \frac{7}{2} \\ \\ \longrightarrow(x + y) = 3.5 \: ........(iii)$

Equating (ii) and (iii)

(x+y)=3.5

(x-y)=2

(-)(+)=(-)

______________

2y=1.5

y=0.75......(iv)

Using (iv) in (iii)

$x + 0.75 = 3.5 \\ \\ \longrightarrow x = 3.5 - 0.75 \\ \\ \sf\huge\bigstar\boxed{x = 2.75}$

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