Question

solve pair of linear equations by elemination method x+y=5 2x -3y=4
​

Answer 1

Please refer to the above picture

Answer 2

$\sf\huge\bold{Answer:}$

Given :

Linear equations

$⇒x + y = 5 \\ \\ ⇒2x - 3y = 4$

To find :

Value of x and y using elimination method.

Solution :

$⇒x + y = 5...(i) \\ \\ ⇒2x - 3y = 4...(ii)$

$\fbox{Elimination Method}$

○●•°Elimination means subtraction°•●○

Step 1 》Multiply equation (i) by 2

$⇒x + y = 5 \\ ⇒2(x + y = 5) \\ ⇒2x + 2y = 10...(iii)$

Step 2 》 Subtracting equation (iii) from equation (ii)

$⇒2x - 3y = 4 - (2x + 2y = 10)$

$\: \: 2x - 3y = 4 \\ - (2x + 2y = 10) \\ - - - - - - - \\ 0x - 5y = - 6 \\ - - - - - - -$

$⇒ - 5y = - 6 \\ ⇒y = \frac{ - 6}{ - 5} \\ ⇒y = \frac{6}{5}$

Step 3 》inserting value of y in equation (i)

$⇒x + y = 5 \\ ⇒x + \frac{6}{5} = 5 \\ ⇒x = 5 - \frac{6}{5} \\ taking \: LCM \\ ⇒x = \frac{25 - 6}{5} \\ ⇒ x = \frac{19}{5}$

So,by elimination method,

Value of

$⇒x = \frac{19}{5} \\ ⇒y = \frac{6}{5}$