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

1 Answer
Aug 22, 2015

Answer:

The solutions are
#color(blue)(x=1,y=0#

Explanation:

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

# -3x - y = -3#, multiplying this equation by #5#
#-15x -color(blue)(5y) = -15#....equation #2#

Solving by elimination
Adding equations #1# and #2#

# 2x +cancelcolor(blue)(5y) = 2#
#-15x -cancelcolor(blue)(5y) = -15#

#-13x=-13#
#color(blue)(x=1#

Finding #y# from equation #2#
# -3x - y = -3#
# -3x +3=y#
#-3+3=y#
#color(blue)(y=0#