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Analyzing Data Using Goal Seek and Solver 37<br />

ON the CD-ROM<br />

This workbook, named linear equations.xlsx, is available on the companion CD-ROM.<br />

The three equations are represented by formulas in the range B6:B8:<br />

n B6: =(4*x)+(y)-(2*z)<br />

n B7: =(2*x)-(3*y)+(3*z)<br />

n B8: =-(6*x)-(2*y)+(z)<br />

These formulas use the values in the x, y, and z named cells. The range C6:C8 contains the “desired” result<br />

for these three formulas.<br />

Solver will adjust the values in x, y, and z (that is, the changing cells in C11:C13), subject to these constraints:<br />

n<br />

n<br />

n<br />

B6=C6<br />

B7=C7<br />

B8=C8<br />

This problem doesn’t have a target cell because it’s not trying to maximize or minimize anything.<br />

However, the Solver Parameters dialog box insists that you specify a formula for the Set<br />

Target Cell field. Therefore, just enter a reference to any cell that has a formula.<br />

NOTE<br />

Figure 37.10 shows the solution. The x (0.75), y (-2.0), and z (0.5) values satisfy all three equations.<br />

FIGURE 37.10<br />

Solver solved the simultaneous equations.<br />

NOTE<br />

Keep in mind that a set of linear equations may have one solution, no solution, or an infinite<br />

number of solutions.<br />

659

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