Question

`x + y = 5 \\ x {}^( \\ x) + y ^(y) = 31`
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Answer 1

The solutions to the systems of equations graphically are (2, 3) and (3, 2)

Solving the systems of equations graphically

From the question, we have the following parameters that can be used in our computation:

x + y = 5

`x^x + y^y = 31`

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This point is located at (2, 3) and (3, 2)

Hence, the solution to the systems of equations graphically are (2, 3) and (3, 2)

Question

Solve the following system of equations graphically on the set of axes below.

x + y = 5

`x^x + y^y = 31`