ryleighmyrz ryleighmyrz
  • 22-05-2019
  • Mathematics
contestada

Use substitution to solve each system of equations.
x – 5y = –3
–7x + 8y = –33

A(2, 7)

B(–5, 1)

C(7, 2)

D(1, –5)

Respuesta :

goober95 goober95
  • 22-05-2019

I think it’s C sorry if I’m wrong

Answer Link
carlosego
carlosego carlosego
  • 22-05-2019

For this case we have a system of sos equations with two unknowns:

[tex]x-5y = -3\\-7x + 8y = -33[/tex]

We clear "x" from the first equation:

[tex]x = -3 + 5y[/tex]

We substitute in the second equation:

[tex]-7 (-3 + 5y) + 8y = -33\\21-35y + 8y = -33\\-27y = -33-21\\-27y = -54\\y = \frac {-54} {- 27}\\y = 2[/tex]

We find the value of "x":

[tex]x = -3 + 5 (2)\\x = -3 + 10\\x = 7[/tex]

ANswer:

(7,2)

Option C

Answer Link

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