How do you solve #-2- \frac{3}{4} b = - \frac{11}{16}#?
2 Answers
Explanation:
#"Note "3/4b=(3b)/4# To eliminate the fractions in the equation multiply ALL terms on both sides by the
#color(blue)"lowest common multiple"# ( LCM) of the denominators 4 and 16The LCM of 4 and 16 is 16
#(16xx-2)-(cancel(16)^4xx(3b)/cancel(4)^1)=(cancel(16)^1xx-11/cancel(16)^1)#
#rArr-32-12b=-11larrcolor(red)" no fractions"# add 32 to both sides.
#cancel(-32)cancel(+32)-12b=-11+32#
#rArr-12b=21# divide both sides by - 12
#(cancel(-12) b)/cancel(-12)=21/(-12)#
#rArrb=-21/12=-7/4#
#color(blue)"As a check"# Substitute this value into the left side of the equation and if equal to the right side then it is the solution.
#-2-(3/4xx-21/12)=-2+21/16=-11/16#
#rArrb=-21/12=-7/4" is the solution"#