How do you determine the solution in terms of a system of linear equations for #3y = 5x + 15#, # 6x = 2y - 18 #?

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Answer 1 · 2015-09-27T14:20:08

#x=-3#
#y=0#

#3y=5x+15# ----------------- (1)
#6x=2y−18# -----------------(2)

Solve the equation (1) for #y#

#y=(5x+15)/3#

Substitute this in equation (2)

#6x=2[(5x+15)/3]−18#
#6x=[(10x+30)/3]−18# [Multiply both sides by 3

#18x=10x+30-54#
#18x-10x=30-54#
#8x=-24#
#x=(-24)/8=-3#

Substitute #x=-3# in equation (1)
#3y=5(-3)+15#
#3y=-15+15#
#3y=0#
#y=0#