[tex]\large\underline{\sf{Solution-}}[/tex]
Solving by Eliminating method:
[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]
[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]
Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.
[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]
[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]
Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get
[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]
[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]
Therefore, the pair of equations has no solution.
Hope this helps!!
