How do you solve #\frac { x + 5} { x + 1} = \frac { 2x + 6} { x + 1}#?
1 Answer
May 16, 2017
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#
.
#"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"#
