Question

Solve for b

B=??????

Answer 1

`(b-7)/(b+1)=(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`

`(6b)/(6)=(18)/(6)`

`b=3`