In Example 2, change the right side of the second equation from 2 to 3 and then solve the system.

Data from Example 2

By substitution, solve the system of equations

From the first equation, we have y = −2/x. Substituting this into the second equation, we have

By substituting these values for x into either of the original equations, we find the corresponding values of y, and we have the solutions

These can be checked by substituting in the original equations. In decimal form, they are x ≈1.618, y ≈ −1.236 and x ≈ −0.618, y ≈ 3.236

The graphical solutions are shown in Fig. 14.10.

= -2 2x + y = 2