## Algebra 1

$\frac{c+1}{c-2}=\frac{4}{7}$ cross multiply $7(c+1)=4(c-2)$ distributive property $7c+7=4c-8$ subtract 4c from both sides; subtract 7 from both sides $7c+7-4c-7=4c-8-4c-7$ combine like terms $3c=-15$ divide both sides by 3 $3c\div3=-15\div3$ simplify $c=-5$