Question

3m+2n=6 .. m+n= -24 solve by elimination method.

Answer 1

3m + 2n = 6---------------( 1 )
m + n = -24----------------( 2 )


from--------( 1 ) & --------( 2 )
multiply by ( 2 ) in -----( 2 )

3m + 2n = 6
2m + 2n = -48
-_____-____+
---------------------
m = 54 [ put in -----( 1 )]

3(54) + 2n = 6

162 + 2n = 6

2n = 6 - 162

2n = -156

n = - 78 , m = 54

Answer 2

✴✴$\bf{Hey \: friends!!}$✴✴

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✴✴$\underline{Here \: is \: your \: answer↓}$⬇⏬⤵

⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇


▶⏩$\boxed{By \: elimination \: method:-)}$

↪➡$\underline{3m + 2n = 6........................(1)}$

↪➡$\underline{m + n = -24..........................(2)}$

▶⏩$\boxed{Multiply \: equation \: (2) \: by \: 3.}$

↪➡$\bf{3 ( m + n = -24 )}$

↪➡$\underline{3m + 3n = -72........................(3)}$

▶⏩$\boxed{Now, Substract \: equation \: (1) \: and \: (2).}$


3m + 2n = 6.
3m + 3n = -72.
(-).....(-).........(+)
____________
-n = 78.

$\bf{=> n = -78.}$

▶⏩$\boxed{Now, \: put \: the \: value \: of \: (n) \: in \: equation (2).}$

=> m + (-78) = -24.

=> m - 78 = -24.

=> m = -24 + 78.

$\bf{=> m = 54.}$

✅✅ Hence, it is solved by elimination method.✔✔.

✴✴$\boxed{THANKS}$✴✴

☺☺☺$\underline{Hope \: it \: is \: helpful \: for \: you}$✌✌✌.