How do you solve the system of equations #-4x + y = 10# and #- 10x + 2y = 22#?

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Answer 1 · 2016-11-01T18:15:52

#x =-1 and y =6#

#-4x +y= 10" and "-10x+2y = 22#

I'd try to eliminate y first:

Multiply the first equation by# -2# to give:

#" "8x - 2y = -20" "# now add the two equations together
#-10x+2y = 22" "# to give:

# -2x = 2#

# x = -1#

Substitute #x = -1# into either equation to give #y = 6#