How can two equations be plotted within the same graph using Mathematica?

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Here is an example of how to plot two equations within the same graph using Mathematica:

1. First, define the two equations using = signs followed by the equation. For example:

eqn1 = x^2 + 2x + 1
eqn2 = 2x + 1

1. Next, use the Plot function to graph the equations. Use curly brackets {} to enclose the equations and separate them with a comma. Set the range of the x-axis using the PlotRange option:

Plot[{eqn1, eqn2}, {x, -5, 5}, PlotRange -> {-5, 25}]

This will plot both equations on the same graph with x ranging from -5 to 5 and y ranging from -5 to 25.

1. Add labels and a legend to the graph using the LabelStyle, PlotLabel, and PlotLegends options:

Plot[{eqn1, eqn2}, {x, -5, 5}, PlotRange -> {-5, 25}, LabelStyle -> {FontSize -> 14},
PlotLabel -> "Two equations", PlotLegends -> {"eqn1", "eqn2"}]

This will add a title to the graph, increase the font size of the labels, and add a legend showing which equation is which.