How do you solve the system of equations #6x - 2y = 1# and #2y - 10x = - 5#?

1 Answer
Mar 27, 2017

Answer:

#x=1# and #y=5/2# or#2 1/2#

Explanation:

#:.6x-2y=1#--------#(1)#

#:.-10x+2y=-5#------#(2)#

#:.(1)+(2)#:

#:.-4x=-4#

multiply L.H.S. and R.H.S. by #-1#

#:.4x=4#

#:.x=1#

substitute #x=1# in -----#(1)#

#:.6(1)-2y=1#

#:.6-2y=1#

#-2y=1-6#

multiply L.H.S. and R.H.S. by #-1#

#:.2y=-1+6#

#:.2y=5#

#:.y=5/2# or#2 1/2#

check:

substitute #x=1#and #y=5/2# in -----#(1)#

#:.6(1)-2(5/2)=1#

#:.6-10/2=1#

#:.6-5=1#

#:.1=1#