tomeciadixon123 tomeciadixon123
  • 27-05-2020
  • Mathematics
contestada

Solve the system by substitution. *
3x - 2y=-7
y=-7x - 22
(3,8)
O (-3,-1)
(7-3)
(-3,8)

Respuesta :

PhantomWisdom PhantomWisdom
  • 31-05-2020

Answer:

(-3,-1)

Step-by-step explanation:

Given equations are :

[tex]3x - 2y=-7\ ....(1)\\\\y=-7x - 22...(2)[/tex]

Put the value of y from equation (2) to equation (1), so,

[tex]3x - 2(-7x - 22)=-7\\\\3x+14x+44=-7[/tex]        

Taking variables on one side and constant on another side.    

[tex]17x=-7-44\\\\17x=-51\\\\x=-3[/tex]

Put x = -3 in equation (2) i.e.

[tex]y=-7(-3) - 22\\\\y=-1[/tex]

So, the value of x and y are (-3) and (-1) respectively.

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