RumerT501924 RumerT501924
  • 03-11-2022
  • Mathematics
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Estimate the solution to the system of equations-3x+3y=92x-7y=-14X=Y=

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AhvaL146203 AhvaL146203
  • 03-11-2022
[tex]\begin{gathered} -3x+3y=9,2x-7y=-14 \\ \text{ Now, for the first equation} \\ 3y=9+3x \\ y=3+x \\ \text{ Replacing that in the second equation} \\ 2x-7(3+x)=-14 \\ 2x-21-7x=-14 \\ -5x-21=-14 \\ -5x=-14+21 \\ -5x=7 \\ x=-\frac{7}{5} \end{gathered}[/tex][tex]\begin{gathered} \text{ Now, since }y=3+x \\ y=3-\frac{7}{5} \\ y=\frac{15-7}{5} \\ y=\frac{8}{5} \end{gathered}[/tex]

Thus x= -1.4 and y=1.6

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