How do you solve the system of equations #4x + y = - 4# and #- x + y = 1#?

1 Answer
Mar 27, 2017

#(-1,0)#

Explanation:

The key here is to eliminate any one variable and evaluate the second variable

#4x+y=-4# Let this be equation #1#

#-x+y=1# Let this be equation # 2#

On multiplying equation #2 # by 4 and adding that to equation #1#

#4x+y=-4#
#+#
#-4x+4y=4#
#------#
#5y=0#
#y=0#

Plugging #y=0# in any equation we get #x=-1#