How do you solve the system of equations: 5x + y = 1, 3x + 2y = 2?

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Answer 1 · 2015-08-15T12:48:05

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

# 5x + y = 1#, multiplying this equation by #2#
# 10x +color(blue)(2 y) = 2#........equation #1#

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

Solving by elimination

Subtracting equation #2# from #1# results in elimination of #color(blue)(2y#

# 10x +cancelcolor(blue)(2 y) = 2#
#-3x -cancelcolor(blue)( 2y) = -2#

#7x=0#
#color(blue)(x=0#

Finding #y# from equation #1#
# 5x+ y = 1#
# y = 1-5x#
# y = 1-5 *0#
#color(blue)(y=1#