True or False. The ordered pair (0, ^{3}/_{2}) is in the solution set of x+2y=3. Show step-by-step how you arrived at your answer.

In order to be in the solution set of one equation, the equation must be satisfied at that point.

Thus substituting x=0 and y=3/2 in the equation x+2y=3, we get:

0+2(3/2)

=0+3 (as 2 at the denominator and the 2 at the numerator cancel each other)

=3

Thus right hand side of the equation is equal to the left hand side of the equation.

So we can say that the coordinates (0,3/2) fall in the solution set of x+2y=3

TRUE

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