How do you solve #-\frac { 9} { 7} - \frac { 1} { 2} u = - \frac { 9} { 5}#?

2 Answers
Apr 26, 2018

#-\frac { 9} { 7} - \frac { 1} { 2} u = - \frac { 9} { 5}#
# \frac { 1} { 2} u = - \frac { 9} { 5} +\frac { 9} { 7}#
# u = 2*(- \frac { 9} { 5} +\frac { 9} { 7})=#
#=2*((-9*7+9*5)/35)=2*(9*(-7+5))/35=2*(9*(-2))/35=-36/35#

Apr 26, 2018

#u=36/35#

Explanation:

The quickest way to solve this equation is to multiply the entire expression by the Common Denominator in order to eliminate the denominators.

#70 (-9/7 -1/2u = -9/5)#

#70 (-9/7) -70(1/2u) = 70 (-9/5)#

#10(-9) -35(1u) = 14(-9)

#-90-35u = -126#

#cancel(-90) -35u cancel(+90) = -126 +90#

#-35u = -36#

#(cancel(-35)u)/cancel(-35) = (-36)/-35#

#u=36/35#