Respuesta :

Answer:

(- 4, - 10 )

Step-by-step explanation:

y = 5x + 10 → (1)

y = 4x + 6 → (2)

Substitute y = 5x + 10 into (2)

5x + 10 = 4x + 6 ( subtract 4x from both sides )

x + 10 = 6 ( subtract 10 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 5(- 5) + 10 = - 20 + 10 = - 10

solution is (- 4, - 10 )

>> Answer

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[tex] \: [/tex]

[tex] \sf{y = 5x + 10...(1)}[/tex]

[tex] \sf{y = 4x + 6...(2)}[/tex]

  • Subtitute (1) to (2)

[tex] \sf{y = 4x + 6}[/tex]

[tex] \sf{5x + 10 = 4x + 6}[/tex]

[tex] \sf5x - 4x = 6 - 10[/tex]

[tex] \sf{x = - 4}[/tex]

.

  • Subtitute x = -4 to (1)

[tex] \sf{y = 5x + 10}[/tex]

[tex] \sf{y = 5( - 4) + 10}[/tex]

[tex] \sf{y = - 20 + 10}[/tex]

[tex] \sf{y = - 10}[/tex]

.

[tex] \longmapsto \sf{( - 4 , - 10)}[/tex]