How do you solve the system of equations #4x-3y=2# and #-10x+3y=4#?

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Answer 1 · 2016-11-17T07:27:46

#x = -1 and y = -2#

This is the best scenario you can hope for in a system of simultaneous equations because you have additive inverses in the y-terms.

Additive inverses add up to 0! #" "+6-6 =0" "-2b+2b=0 #

#" "4xcolor(blue)(-3y) = 2# ............................A
#" "-10xcolor(blue)(+3y) = 4#.............................B

A+B#" "-6x " "=6" "larr# only one variable, solve

#" "x = -1#

Now that you know the value for #x#, substitute it .......

B: #-10(-1)+3y = 4#

#10+3y =4#

#3y = 4-10#

#3y = -6#

#y = -2#