How do you solve the system of equations: 2x + 3y = 6, x + y = 4?

1 Answer
Aug 8, 2015

Answer:

The solution for the system of equations is
#color(blue)(x=6, y=-2#

Explanation:

#color(blue)(2x)+3y=6#......equation #(1)#

#x+y=4#, multiplying this equation by #2#
#color(blue)(2x)+2y=8#.....equation #(2)#

Solving by elimination , subtracting equation #2# from #1# results in elimination of #color(blue)(2x#

#cancelcolor(blue)(2x)+3y=6#
#-cancelcolor(blue)(2x)-2y=-8#

#color(blue)(y=-2#

Substituting the value of #y# in equation #2# to find #x#
#x+y=4#

#x=4-y#

#x=4-(-2)#

#color(blue)(x=6#