How do you substitute to determine if the ordered pair (3, 2) is a solution of the system of equations 4x-y=10 and 3y=x+1?

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Answer 1 · 2017-07-10T01:19:45

#(3,2)# is not a solution.

Given -

#4x-y=10# -----------------(1)
#3y=x+1#-------------------(2)

We have to examine whether #(3,2)# is a solution to the system of equations.

For this, you have to substitute #(3,2)# in the two given equations.
If they are satisfied, #(3,2)# is a solution, otherwise, it is not.

Take 1st equation

#4(3)-2=10#
#12-2=10#
#10=10# -------------- Satisfied

Take the second equation

#3(2)=3+1#
#6!=4 # ---------------- Not satisfied

#(3,2)# is not a solution.