JaylynQ352836 JaylynQ352836
  • 25-10-2022
  • Mathematics
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Section 5.2-10. Solve the following system of equations by substitution or elimination. Enter your answer as (x,y).-2x+3y = 15-x-3y = 12

Section 5210 Solve the following system of equations by substitution or elimination Enter your answer as xy2x3y 15x3y 12 class=

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RoseannC644230 RoseannC644230
  • 25-10-2022
[tex]-2x+3y=15\ldots\ldots1)[/tex][tex]-x-3y=12\ldots\ldots\ldots\ldots\text{2)}[/tex]

1)-2x2)

[tex]-2x+3y-(-2x-6y)=15-2\times12\Rightarrow-2x+3y+2x+6y=15-24\Rightarrow9y=-9\Rightarrow y=-1[/tex]

y=-1 implies

[tex]-2x+3\times(-1)=15\Rightarrow-2x-3=15\Rightarrow-2x=18\Rightarrow x=-9[/tex]

Hence the solution is

[tex](-9,-1)[/tex]

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