How do you solve 3x + 2y = -2 and -2x - 4y = 0?

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Answer 1 · 2015-09-06T11:19:35

#x =- 1#
#y = 1/2#

#3x + 2y = -2" " " "(1)#
#- 2x - 4y = 0 " " " "(2)#

Solve equation #(2)# for #y#

#-4y = 2x#

# y = (2x)/-4 = (-x)/2#

Substitute #y = (-x)/2# in equation #(1)#

#3x + 2 * ((- x)/2) = - 2#

#3x - x = - 2#

#2x = - 2#

#x=(- 2)/2 = - 1#

#x = - 1#

Substitute #x = - 1# in equation #(1)#

#3(- 1) + 2y = - 2#

#- 3 + 2y = - 2#

#2y = - 2 + 3 = 1#

#y =1/2#