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Nezavi [6.7K]
3 years ago
5

4x+2y=0 3x-y=-10 solve the system

Mathematics
1 answer:
erik [133]3 years ago
5 0

Divide the first equation by 2:

\begin{cases}2x+y=0\\3x-y=-10\end{cases}

Sum the two equations:

5x = -10

Divide both sides by 5:

x=-2

Substitute this value for x in one of the equation (for example the first) and solve for y:

-8+2y = 0 \iff 2y=8 \iff y=4

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The true statements are:

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Over the interval [1, 4], the local maximum is 0.

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Over the interval [3, 5], the local maximum is 0.

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