How do you solve 2/3x - 3y = 1/5 and 2x - 9y = 4?

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Answer 1 · 2015-09-11T06:42:42

The two lines are parallel to each other. It has no solution.

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

Multiply each term in equation (1) by 3
#2/3x-3y=1/5# --------(1)# xx 3#
#2x-9y=3/5# --------(3)

The co-efficients of x and y in the 2nd equations are 3 times the co-efficients of x and y of the 1st equation.

Moreover the equation in the general form. Its slope is given by #-a/b)# provided the equation is in the form #ax + by = c#

The slope of the 1st line is #= -2/3 xx -3 = 9/2#
The slope of the 2nd line is#=-(2/(-9))=2/9#

Hence it has no solution.

Refer the graph also enter image source here