Question

7x -2y=13 and 5x-3y= 3 by elimination m​

Answer 1

Given, 5x+6y=7x+3y=3(x+6y−6)

By taking first and third we get,

5x+6y=3(x+6y−6)

⇒5x+6y=3x+18y−18

⇒2x−12y=−18            ....(i)

By taking last two we get,

7x+3y=3(x+6y−6)

7x+3y=3x+18y−18

⇒4x−15y=−18          .....(ii)

On multiplying equation (i) by 2. we get,

4x−24y=−36                ....(iii)

Subtracting (ii) from (iii). we get,

4x−24y−(4x−15y)=−36−(−18)

∴−9y=−18⇒y=2

On substituting y=2 in (i). we get,

2x−12(2)=−18

⇒2x=6

∴x=3

∴x=3,y=2