Algebra questions need help

label Algebra
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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.

Feb 2nd, 2015

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

Feb 2nd, 2015

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