How do you solve #\frac { x + 5} { x + 1} = \frac { 2x + 6} { x + 1}#?

1 Answer
May 16, 2017

#"no solution"#

Explanation:

#"since the denominators of the fractions are equal then "#
#" the numerators must equate"#

#rArr2x+6=x+5#

#"subtract x from both sides"#

#2x-x+6=cancel(x)cancel(-x)+5#

#rArrx+6=5#

#"subtract 6 from both sides"#

#xcancel(+6)cancel(-6)=5-6#

.#rArrx=-1#

#"Note, however, that " x=-1" makes the denominators "#
#"equal to zero which yields the fractions as "color(blue)"undefined"#

#rArr" the equation has no solution"#