Question

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Answer 1

Part 1)

Step-by-step explanation:

If you are mentioning about the window view on the graphing calculator, then you must be note that viewing window is the part of the coordinate plane that would be visible on the screen of your graphing calculator.

If you are just viewing only a small portion of entire graph, just think of your calculator screen as a magnifying glass, enabling you to view you a piece of the entire graph.

• The size of the coordinate plane is interpreted by Xmin, Xmax, Ymin, and Ymax, as seen at the left.

• The zoom setting should be such that you can get the decent range for the x-values and y-values to determine the solution.

• The Zoom setting 'Zstandard' is normally 10 x 10 window which is large enough to display the appropriate portion of the graph.

• "ZFit" - recalculates Ymin and Ymax using current x-values to show best possible graph.  The range gets adjusted so that the function will enter the window at a corner on the left side.

Part 2) Determining the solution of $x\:+\:4y\:=\:26;\:3x\:-\:4y\:=\:30$

Step-by-step explanation:

Considering the system of equations

$\begin{bmatrix}x+4y=26\\ 3x-4y=30\end{bmatrix}$

As

$x+4y=26$

$\mathrm{Subtract\:}4y\mathrm{\:from\:both\:sides}$

$x+4y-4y=26-4y$

$x=26-4y$

$\mathrm{Subsititute\:}x=26-4y$

$\begin{bmatrix}3\left(26-4y\right)-4y=30\end{bmatrix}$

$78-12y-4y=30$

$78-16y-78=30-78$

$-16y=-48$

$y=3$

$\mathrm{For\:}x=26-4y$

$\mathrm{Subsititute\:}y=3$

$x=26-4\cdot \:3$

$x=14$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=3,\:x=14$

The graph of the solution of the system of equation is also attached below.

Keywords: system of equations, solution

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