How do you solve #\frac { 9x } { 2} + \frac { 3} { 4} = - \frac { 33} { 4}#?
1 Answer
Mar 11, 2017
Explanation:
To eliminate the fractions in the equation multiply ALL terms on both sides by the
The LCM of 2 and 4 is 4
#(cancel(4)^2 xx(9x)/cancel(2)^1)+(cancel(4)^1 xx3/cancel(4)^1)=(cancel(4)^1xx-33/cancel(4)^1)#
#rArr18x+3=-33larrcolor(red)" no fractions"# subtract 3 from both sides.
#18xcancel(+3)cancel(-3)=-33-3#
#rArr18x=-36# divide both sides by 18
#(cancel(18) x)/cancel(18)=(-36)/18#
#rArrx=-2#
#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.
#"left side "=((9xx-2))/2+3/4=-9+3/4=-8 1/4=-33/4#
#rArrx=-2" is the solution"#