SavannahGrace06
SavannahGrace06 SavannahGrace06
  • 03-01-2022
  • Mathematics
contestada

Solve system by using the substitution method.

y=2x+9
8x-3=y


( ? , )

Respuesta :

itsandypandy
itsandypandy itsandypandy
  • 03-01-2022

Answer:

[tex]x = 2; y = 13[/tex]

Step-by-step explanation:

⇒ [tex]4y = 8x + 36[/tex]   [Multiply equation 1 by 4]

⇒ [tex]3y = 39[/tex]   [Subtract equation 2 from eq 1]

*Here I do 4y - y = 3y; 8x - 8x = 0; 36 - -3 = 39.

⇒ [tex]y = 13[/tex]   [Divide both sides by 3]

⇒ [tex]13 = 2x + 9[/tex]   [Sub in y]

⇒ [tex]2x = 4[/tex]   [Subtract 9 from both sides]

⇒ [tex]x = 2[/tex]   [Divide both sides by 2]

Hope this helps! :D

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