How do you determine whether the ordered pair is a solution of the given equation 6x - 5y = 33; (3, -3)?

1 Answer
May 16, 2016

#(3,-3) # is a solution to #6x-5y#

Explanation:

Given ordered pair #->(x,y)->(3,-3)#

If you substitute these values and the left hand side =33 then they are a solution.

Consider the left hand side (LHS)

#6x-5y#

By substitution we have

#color(brown)(6x-5y)color(blue)(" "->" "6(3) -5(-3)#

Giving

#18+15=33#

So left hand side = right hand side, so they are a solution