Answer :

sreedevi102

Answer:

Option : ( 2 , 6 )

x = 2, y = 6

Step-by-step explanation:

[tex]y = 4x - 2[/tex]      ---------------- ( 1 )

[tex]y = -2x + 10[/tex]   -------------- ( 2 )

Substitution Method

Substitute ( 1 ) in ( 2 ) :

                           [tex]4x - 2 = -2x + 10\\\\4x + 2x = 10 + 2\\\\6x = 12\\\\x = 2[/tex]

Now substitute x in ( 2 ):

                           [tex]y = -2x + 10\\\\y = -2 ( 2 ) + 10\\\\y = - 4 + 10 \\\\y = 6[/tex]

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