How do you solve #5x - 2y = 3# and #y = 2x#?

1 Answer
Aug 4, 2015

Answer:

The solution for the system of equations is
#color(blue)(x=3,y=6#

Explanation:

#5x−2y=3#........equation #(1)#

#y=color(blue)(2x)#.................equation #(2)#

Solving by substitution

Substituting equation #(2)# in equation #(1)#
#5x−2y=3#

#5x−2 *color(blue)(2x)=3#
#5x−4x=3#
#color(blue)(x=3#

Now finding the value of #y# by substituting #x# in equation #1#
#5x−2y=3#

#5x−3=2y#

#y=(5x-3)/2#

#y=(15-3)/2#
#color(blue)(y=6#