How do you solve the following system?: # -4x + y = 2 , 2x – y = -4 #

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Answer 1 · 2018-04-05T16:08:36

#y = 6# and #x = 1#

#-4x + y =2# ---------(1)
#2x - y = -4# ----------(2)

Multiply equation (1) by #1# and equation (2) by #2#

#-4x + y = 2# ------------(3)
#4x - 2y = -8# ------------(4)

Add equation (1) to equation (2)

#0 - y = -6#

Divide through by #-1#

#y = 6# (answer)

Substitute the value of y into equation (1)

#-4x + y = 2#

#-4x + 6 = 2#

Collect like terms

#-4x = 2-6#

#-4x = -4#

Divide through by #-4#

#x = 1# (answer)