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

1 Answer
Apr 3, 2016

Answer:

#x=4#
#y=-3#

Explanation:

first of all make any variable of the any equation the same so we will here take x and the second equation
# 2(x-2y=10)# this will make both the x values same
#2x-4y=20# now change the signs of the second equation
so this will give us #-2x+4y=-20#
now write both the equations simultaneously and solve them
#-2x and +2x# will be cancelled #+y+4y=5y# and #5-20=-15#
so #y=-3# Then after getting the value of y put in equation 1 and
solve it # 2x +(-3)=5#
#2x=5+3#
#2x=8#
#x=4#