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Which system is equivalent to

\[ \begin{cases}
5x^2 + 6y^2 = 50 \\
7x^2 + 2y^2 = 10
\end{cases} \]

A. \[ \begin{cases}
5x^2 + 6y^2 = 50 \\
-21x^2 - 6y^2 = 10
\end{cases} \]

B. \[ \begin{cases}
5x^2 + 6y^2 = 50 \\
-21x^2 - 6y^2 = 30
\end{cases} \]

C. \[ \begin{cases}
35x^2 + 42y^2 = 250 \\
-35x^2 - 10y^2 = -50
\end{cases} \]

D. \[ \begin{cases}
35x^2 + 42y^2 = 350 \\
-35x^2 - 10y^2 = -50
\end{cases} \]

Answer :

Answer: The answer is D :)

Step-by-step explanation:

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Rewritten by : Barada

If we substitute equation (2) into (1) then we have the equivalent equations; y = 5 - x and 5 - x = 9x².

What is a mathematical equation?

An equation must contain two sets of variables, the independent variable and the dependent variable separated by the equality sign.

In this case, the original system of equations are; y = 9x² and x + y = 5. It the follows that, if we substitute equation (2) into (1) then we have the equivalent equations; y = 5 - x and 5 - x = 9x².

Learn more about mathematical equations:

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