Determine Whether the Two Systems of Linear Equations Yield the Same

question 94

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions. If so, find the solutions using matrices.
$\begin{array} { r } \left\{ \begin{aligned}x + 5 y - 5 z & = 42 \\y - 9 z & = 48 \\z & = - 5\end{aligned} \right. \\\left\{ \begin{aligned}x + 8 y - 3 z & = 31 \\y + 5 z & = - 22 \\z & = - 5\end{aligned} \right.\end{array}$

• A) \(x = 2 , y = 3 , z = - 5\)
• B) \(x = - 2 , y = - 3 , z = - 5\)
• C) \(x = - 3 , y = - 5 , z = 2\)
• D) \(x = 3 , y = - 5 , z = 2\)
• E) The systems yield different solutions.

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Definitions:

Horizontal Cells

Neurons located in the eye's retina that help integrate and regulate the input from multiple photoreceptor cells, contributing to visual processing.

Bipolar Cells

Specialized neurons in the retina that play a critical role in visual signal processing, connecting photoreceptors to ganglion cells.

Amacrine Cells

Amacrine cells are interneurons found in the retina that play a role in the modulation and integration of visual information as it is passed from the retina to the brain.

Wavelength

Wavelength is the distance between successive crests of a wave, typically used in the context of electromagnetic waves, sound waves, or other waves.