Question

solve the pair of linear equation x+5y=9 x+3y=5.
​

Answer 1

SOLUTION

TO SOLVE

The pair of linear equations

$\sf{x + 5y = 9}$

$\sf{x + 3y = 5}$

EVALUATION

Here the given pair of linear equations are

$\sf{x + 5y = 9 \: \: \: \: \: ........(1)}$

$\sf{x + 3y = 5} \: \: \: \: \: \: ..........(2)$

Equation (1) - Equation (2) gives

$\sf{2y = 4}$

$\implies \sf{y = 2}$

Putting the values of y in Equation (1) we get

$\sf{x + (5 \times 2) = 9}$

$\sf{ \implies \: x + 10= 9}$

$\sf{ \implies \: x = 9 - 10}$

$\sf{ \implies \: x = - 1}$

Hence the required solution is

$\sf{x = - 1 \: \: \: and \: \: y = 2}$

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Answer 2

Given pair of linear equations:

Given pair of linear equations: x + 5y = 9 …….(1)

Given pair of linear equations: x + 5y = 9 …….(1)x + 3y = 5 …….(2)

To find : value of x and y

Solution :

Substitution method is used to solve this given linear pair of

equations.

From eq (2), we have

x = 5 - 3y………..(3)

On Substituting the value of x in equation (1) we obtain ,

x + 5y = 9

(5 - 3y) + 5y = 9

5 + 2y = 9

2y = 9 - 5

2y = 4

y = 4/2

y = 2

Now ,on putting y = 2 in the eq (3), we obtain :

x = 5 - 3y

x = 5 - 3 × 2

x = 5 - 6

x = - 1

Hence, the solution of the given linear equation is x = - 1 and y = 2 .

Hope this answer will help you…

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