Question

in the pair of leaner equation x+y=9 and x-y=1 find the value of X and Y​

Answer 1

Answer:

x+y=9………….(1)

x-y=1…………..(2)

(1)+(2)

2x=10

x=5

putting x as 5 in equation (1)

5+y=9

y=9–5

y=4

x=5,y=4 ans.

Step-by-step explanation:

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Answer 2

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Question :

Q1) In the pair of linear equation x+y=9 and x-y=1 .

To find :

* The value of X and Y=?

Given:

•x+y=9 .........(1)

•x-y=1 .........(2)

Solution :

$\implies \displaystyle \sf \: x + y = 9$

$\: \: \: \: \: \: \: \: \: \: \displaystyle \sf \: x - y = 1$

$\: \: \implies \displaystyle \sf x + \cancel y = 9$

$\: \: \: \: \: \: \: \: \: \displaystyle \sf \: x - \cancel y = 1$

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$\: \\ \implies \displaystyle \sf \: 2x = 10$

$\\ \implies \displaystyle \sf \: x = \frac{10}{2} = \cancel \frac{10}{2} = 5$

•Put the value of X in equation (1)

$\\ \implies \displaystyle \sf \: x + y = 9$

$\\ \: \implies \displaystyle \sf \: 5 + y = 9$

$\\ \implies \displaystyle \sf \: y = 9 - 5$

$\\ \implies \displaystyle \sf \: y = 4$

$\\ \therefore \boxed{ \underline{ \bf{the \: value \: of \: x \: = 5 \: and \: y = 4}}}$