claudiaroyer14
claudiaroyer14 claudiaroyer14
  • 10-10-2018
  • Mathematics
contestada

use substitution to solve the linear system of equations
y=4x
3x+5y=-46

a. (-8,-2)
b. (8,-2)
c. (-2,8)
d. (-2,-8)

Respuesta :

rejkjavik rejkjavik
  • 10-10-2018

we are given

system of equations

[tex]y=4x[/tex]

[tex]3x+5y=-46[/tex]

we can plug first equation into second equation

we get

[tex]3x+5(4x)=-46[/tex]

Simplify left side

[tex]3x+20x=-46[/tex]

[tex]23x=-46[/tex]

Divide both sides by 23

and we get

[tex]x=-2[/tex]

now, we can find y-value

[tex]y=4*-2[/tex]

[tex]y=-8[/tex]

so, our solution is

[tex](x,y)=(-2,-8)[/tex].............Answer

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