Linear Equations Preview

0.07·D1+0.18·B1+0.15·D2+0.24·B2=0.15·70
0.04·D1+0.24·B1+0.1·D2+0.65·B2=0.25·70
0.54·D1+0.42·B1+0.54·D2+0.1·B2=0.4·70
0.35·D1+0.16·B1+0.21·D2+0.01·B2=0.2·70

Program validated. Ready to Solve.
# Example 3 - Linear Eqs. Steady State Material Balances
# Verified Solution: D1=26.25, B1=17.5, D2=8.75, B2=17.5
# Ref.: Comput. Appl. Eng. Educ. 6: 172-173, 1998

.07*D1 + .18*B1 + .15*D2 + .24*B2 = 0.15*70
.04*D1 + .24*B1 + .1*D2 + .65*B2 = 0.25*70
.54*D1 + .42*B1 + .54*D2 + .1*B2 = 0.40*70
.35*D1 + .16*B1 + .21*D2 + .01*B2 = 0.20*70

Linear Equations Solution

 VariableValue
1B117.5
2B217.5
3D126.25
4D28.75

Settings and Hints

 Name/SourceValueType
1 Number of equations 4 Setting
2 Reporting digits 10 Setting
3 Elapsed time 0.002 ms Setting
4 #@report_fix_digits = 8 Default (integer)
5 #@report_show_source = true Default (boolean)
6 #@report_show_header = false Default (boolean)
7 #@report_show_settings = true Default (boolean)

Source

# Example 3 - Linear Eqs. Steady State Material Balances
# Verified Solution: D1=26.25, B1=17.5, D2=8.75, B2=17.5
# Ref.: Comput. Appl. Eng. Educ. 6: 172-173, 1998

.07*D1 + .18*B1 + .15*D2 + .24*B2 = 0.15*70
.04*D1 + .24*B1 + .1*D2 + .65*B2 = 0.25*70
.54*D1 + .42*B1 + .54*D2 + .1*B2 = 0.40*70
.35*D1 + .16*B1 + .21*D2 + .01*B2 = 0.20*70