Nizarrayashey Nizarrayashey
  • 14-10-2020
  • Mathematics
contestada

y = -4x – 5
y = -2x + 10 solve using substitution show work please

Respuesta :

jimrgrant1 jimrgrant1
  • 14-10-2020

Answer:

(- [tex]\frac{15}{2}[/tex], 25 )

Step-by-step explanation:

Given the 2 equations

y = - 4x - 5 → (1)

y = - 2x + 10 → (2)

Substitute y = - 2x + 10 into (1)

- 2x + 10 = - 4x - 5 ( add 4x to both sides )

2x + 10 = - 5 ( subtract 10 from both sides )

2x = - 15 ( divide both sides by 2 )

x = - [tex]\frac{15}{2}[/tex]

Substitute this value into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 2(- [tex]\frac{15}{2}[/tex] ) + 10 = 15 + 10 = 25

Solution is ( - [tex]\frac{15}{2}[/tex], 25 )

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