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tino4ka555 [31]
3 years ago
15

The sum of two rational numbers will always be

Mathematics
2 answers:
telo118 [61]3 years ago
6 0
It's the same as adding 2 fractions the product of 2 rational numbers is rational
4vir4ik [10]3 years ago
6 0
The sum of two rational numbers will always be Rational.
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The first step for solving this problem is to multiply both sides of the bottom equation by -3.
\left \{ {{6x-9y=16} \atop {-6x + 9y = -21}} \right.
Add the two equations together.
6x - 9y - 6x + 9y = 16 - 21
Eliminate the opposites.
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Remember that the sum of two opposites equals 0,, so the equation becomes the following:
0 = 16 - 21
Calculate the difference on the right side of the equation.
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This means that the statement \left \{ {{6x-9y=16} \atop {2x-3y=7}} \right. is false for any value of x and y. That means that the answer to your question is (x,y) ∈ ∅,, or no solution.
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