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3 years ago

What number could replace ppp below?

Mathematics

1 answer:

Galina-37 [17]3 years ago

7 0

p = 100

Step-by-step explanation:

$\begin{aligned}\tt\dfrac{20}{p}&=\tt\dfrac{2}{10}\\\tt 2p&=\tt 20\cdot 10\\\tt 2p&=\tt 200\\\tt p&=\tt\dfrac{200}{2}\\\tt p&=\tt 100\end{aligned}$

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MissTica

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In matrix form, this is

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The coefficient matrix has determinant

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so it has an inverse, which is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}$

Multiply both sides by the inverse matrix:

$\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}$

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4 years ago

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