Select all equation that can reult from adding thee two equation or ubtracting one from the other. {xy=123x−5y=4

A -2x−4y=80

B -2x6y=80

C 4x−4y=164 x minu 4 y i equal to 16

D 4x4y=164 x plu 4 y i equal to 16

E 2x−6y=-82 x minu 6 y i equal to

F 5x−4y=285 x minu 4 y i equal to 28



Answer :

Options (B), (C), (E) are correct.

The equations that can result from adding or subtracting the given equations are,

4x - 4y = 16 , 2x - 6y = -8 and -2x + 6y = 8

Given, two equations

x + y = 12 and 3x - 5y = 4

Now, On adding both the equations, we get

x + y = 12

3x - 5y = 4

=> 4x - 4y = 16

On subtracting first equation from second, we get

3x - 5y = 4

x + y = 12

=> 2x - 6y = -8

On subtracting second equation from the first, we get

x + y = 12

3x - 5y = 4

=> -2x + 6y = 8

Hence, the equations that can result from adding or subtracting the given equations are,

4x - 4y = 16 , 2x - 6y = -8 and -2x + 6y = 8

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