gunterofwewels gunterofwewels
  • 17-10-2018
  • Mathematics
contestada

Solve the system Solve the system of equations of equations

{y= 2x+7 y = 25−x


A (19, 6)

B (6, 19)

C (-6, -19)

D (19, -6)

E none of these

Respuesta :

jimrgrant1 jimrgrant1
  • 17-10-2018

B

since both equations express y in terms of x we can equate the right sides

2x + 7 = 25 - x ( add x to both sides )

3x + 7 = 25 ( subtract 7 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

substitute x = 6 into either of the 2 equations for y

y = 2x + 7 = ( 2 × 6 ) + 7 = 12 + 7 = 19

solution is (6, 19 )


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