How do you solve the following system: #7y - 2x = 10, -3y + x = -3 #?

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Answer 1 · 2015-12-31T08:14:18

The solution for the system of equations is

#color(blue)(x=9 , y=4#

#7y-color(blue)(2x)=10#...........equation #(1)#

#-3y +x =-3#, multiplying by #2#:
#-6y +color(blue)(2x) =-6#......equation #(2)#

Solving by elimination

Adding equations #1# and #2#:

#7y-cancelcolor(blue)(2x)=10#
#-6y +cancelcolor(blue)(2x) =-6#

#color(blue)(y=4#

Finding #x# from equation #2#

#-3y +x =-3#

# x =-3+3y#

# x =-3+3xx4#

# x =-3+12#

#color(blue)(x =9#