Question

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3 - (x - 5) = y + 2
2 (x + y) = 4 - 3y

Answer 1

3 - (x - 5) = y + 2           
∴ 3 - x + 5 = y + 2
∴ - x + 8 = y + 2 
∴ x + y = 6                             ....(1)

2( x + y ) = 4 - 3y
∴ 2x + 2y = 4 - 3y
∴ 2x + 5y = 4                        .....(2)

Multiplying equation no (1) by 2.
2x + 2y = 12                         .....(3)

Subtracting equation (2) from (3)
            2x + 2y = 12
       -    2x + 5y = 4  
           -    -         -     
                 - 3y = 8
                     y = - `8/3`

From (1)
x - `8/3` = 6
⇒ x = `26/3`