How do you solve the system of equations: 3x+2y-5=0, x=y+10?

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Answer 1 · 2015-08-14T12:18:35

The solutions are
#color(blue)(x=5,y=-5#

#3x+2y=5#................equation #1#
# x=color(blue)(y+10#..................equation #2#

Solving by substitution:

Substituting equation #2# in equation #1#

#3x+2y=5#

#3*(color(blue)(y+10))+2y=5#

#3y+30+2y=5#

#5y=5-30#

#5y=-25#

#color(blue)(y=-5#

Finding #x# by substituting #y# in equation #2#
# x=y+10#
# x=-5+10#
#color(blue)(x=5#