How do you solve the system of equations #2x + 2y = 10# and #- 2x - 3y = - 5#?

1 Answer
sjc
Mar 18, 2017

#x=10, y=-5#

Explanation:

the best way with this system is to us e elimination

#" "2x+2y=10#

#color(white)(XXXXXXXXX)+"#
#-2x-3y=-5#

#_______________________________________#

#" "-y=5#

#" "y=-5#

substitute into the first eqn

#2x+2xx-5=10#

#2x-10=10#

#2x=20#

#x=10#

substitute into the first eqn.

#2xx10+2y=10#

#20+2y=10#

#2y=-10#

#y=-5#

check in the second eqn.

#-2xx10-3xx-5=-20+15=-5#

#=RHS#

#:.x=10, y=-5#

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