ashleyyxrdgz
ashleyyxrdgz ashleyyxrdgz
  • 24-09-2020
  • Mathematics
contestada

Solve the system by substitution.
-Y = x
-7x – 5y = –20

Respuesta :

mastercookie55
mastercookie55 mastercookie55
  • 24-09-2020

Answer:

[tex]x=10\\y=-10\\[/tex]

[tex](10,-10)[/tex]

Step-by-step explanation:

[tex]-y=x[/tex]

[tex]-7x-5y=-20[/tex]

Substitute [tex]-y[/tex] for [tex]x[/tex] in the second equation:

[tex]-7(-y)-5y=-20[/tex]

Multiply:

[tex]7y-5y=-20[/tex]

Combine like terms:

[tex]2y=-20[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]2[/tex]:

[tex]y=-10[/tex]

Now, substitute [tex]-10[/tex] for [tex]y[/tex] in the first equation:

[tex]-(-10)=x[/tex]

Multiply:

[tex]x=10[/tex]

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