How do you solve the system of equations #5x + 9y = 4\frac { 3} { 5}# and #- 5x + y = - \frac { 3} { 5}#?

1 Answer
Apr 8, 2018

#y=2/5#
#x=1/5#

Explanation:

#5x+9y=4 3/5# --- (1)
#-5x+y=-3/5# --- (2)

From (2),

#y=5x-3/5# --- (3)

Sub (3) into (1)

#5x+9(5x-3/5)=4 3/5#

#5x+45x-27/5=23/5#

#50x=10#

#x=1/5# --- (4)

Sub (4) into (3)

#y=5(1/5)-3/5#

#y=2/5#