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

1 Answer
smendyka
Apr 24, 2017

Se the entire solution process below:

Explanation:

Substitute #color(red)(3)# for #color(red)(x)# and #color(blue)(2)# for #color(blue)(y)# in each equation, calculate each side of the equation. If both sides of each equation are equal the ordered pair is a solution for the equation otherwise it is not.

#color(blue)(y) = 2color(red)(x) - 3# becomes:

#color(blue)(2) = (2 * color(red)(3)) - 3#

#2 = 6 - 3#

#2 != 3#

Therefore #(3, 2)# is not a solution for this system of equations.

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