robertliana14 robertliana14
  • 08-10-2020
  • Mathematics
contestada

What is the value of y in the following system?

4x - 10y = -3

12x + 5y = 12

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jaimie11121
jaimie11121 jaimie11121
  • 08-10-2020

Y=3/5

First, set it up so they cancel. I recommend multiplying the second equation by 2, getting

[tex]4x-10y=-3[/tex]

[tex]24x+10y=24[/tex]

add them together, and you get

[tex]28x=21[/tex]

so

[tex]x=3/4[/tex]

then, you plug x into one of the equations (first because it's easier) and get

[tex]3-10y=-3[/tex]

so

[tex]-10y=-6[/tex]

and

[tex]y=3/5[/tex]

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