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Anni [7]
4 years ago
14

4x-3y=30 3x+2y=22 (6,-2)

Mathematics
1 answer:
shusha [124]4 years ago
5 0

This ordered pair is not a solution for the given equations. We can tell this by plugging in to each of them and seeing that it does not provide a true statement for both. It does work for the first, but is not an intersection due to it not working for each.

4x - 3y = 30

4(6) - 3(-2) = 30

24 + 6 = 30 (TRUE)

3x + 2y = 22

3(6) + 2(-2) = 22

18 - 4 = 22

16 =/= 22 (FALSE)

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<h2>Translating Words into Problems</h2>

We can translate a word equation into a mathematical equation by translating key words into operations.

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<h2>Addinng Fractions</h2>

Whenever we need to add one fraction to another, we must find a common denominator, change both the fractions for their denominators to be the same, and then add the numerators. Finally, we reduce the fraction.

<h2>Solving the Question</h2>

We're given:

  • The difference of n and \dfrac{1}{6} is \dfrac{1}{2}.

Translate the given information into an equation:

⇒ n-\dfrac{1}{6}=\dfrac{1}{2}

Solve for <em>n</em>:

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<h2>Answer</h2>

n=\dfrac{2}{3}

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