Question

Solve for b B=??????

Answer 1

Answer:

$\frac{b-7}{b+1}=\frac{b-10}{b+4}$

$\left(b-7\right)\left(b+4\right)=\left(b+1\right)\left(b-10\right)$

$\left(b-7\right)\left(b+4\right)=b^2-3b-28$

$\left(b+1\right)\left(b-10\right)=b^2-9b-10$

$b^2-3b-28=b^2-9b-10$

$b^2-3b-28+28=b^2-9b-10+28$

$b^2-3b=b^2-9b+18$

$b^2-3b-\left(b^2-9b\right)=b^2-9b+18-\left(b^2-9b\right)$

$6b=18$

$\frac{6b}{6}=\frac{18}{6}$

$b=3$