veronica3841
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  • 02-11-2021
  • Mathematics
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Solve for b

B=??????

Solve for b B class=

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Аноним Аноним
  • 03-11-2021

Answer:

[tex]\frac{b-7}{b+1}=\frac{b-10}{b+4}[/tex]

[tex]\left(b-7\right)\left(b+4\right)=\left(b+1\right)\left(b-10\right)[/tex]

[tex]\left(b-7\right)\left(b+4\right)=b^2-3b-28[/tex]

[tex]\left(b+1\right)\left(b-10\right)=b^2-9b-10[/tex]

[tex]b^2-3b-28=b^2-9b-10[/tex]

[tex]b^2-3b-28+28=b^2-9b-10+28[/tex]

[tex]b^2-3b=b^2-9b+18[/tex]

[tex]b^2-3b-\left(b^2-9b\right)=b^2-9b+18-\left(b^2-9b\right)[/tex]

[tex]6b=18[/tex]

[tex]\frac{6b}{6}=\frac{18}{6}[/tex]

[tex]b=3[/tex]

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