How do you solve #x\leq 1+ \frac { 5} { 9} x - \frac { 1} { 5} ( x + 9)#?
1 Answer
Dec 2, 2017
Explanation:
#"distribute the factor on the right side"#
#x<=1+5/9x-1/5x-9/5#
#"we can eliminate the fractions by multiplying all terms"#
#"by the "color(blue)"lowest common multiple of 5 and 9"#
#"the lowest common multiple of 5 and 9 is 45"#
#45x<=45+(cancel(45)^5xx(5x)/cancel(9)^1)-cancel(45)^9xx1/cancel(5)^1(x+9))#
#rArr45x<=45+25x-9x-81#
#rArr45x-25x+9x<=45-81#
#rArr29x<=-36#
#rArrx<=-36/29#
