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1.- a+b=825
2.- a+0.15a+b-0.05b = 863.75
=1.15a+0.95b = 863.75
Despejamos en 1
a=825-b
Sustituimos en 2
1.15(825-b)+0.95b = 863.75
948.75-1.15b+0.95b = 863.75
-0.2b = 863.75 - 948.75
-0.2b = -85
b = 425
Sustituimos en 1
a = 825 - b
a = 400
Segundo problema
1.- a+b=35
2.- a -0.06a+b-0.12b = 31.40
=0.94a+0.88b = 31.40
Despejamos en 1
a=35-b
Sustituimos en 2
0.94a+0.88b = 31.40
0.94(35-b) + 0.88b = 31.40
32.9-0.94b + 0.88b = 31.40
32.9-0.06b = 31.40
-0.06b = -1.5
b = 25
Sustituimos en 1
a=35-b
a=35-25
a = 10