Linear Equation Calculator

Enter equation

a+b+c=7700 b = 1.5 a c = 2b

Solution:

a+b+c=7700
b =1.5 a
c =2b

a+b+c=7700
b =1.5·a
c =2·b

a+b+c = 7700
1.5a-b = 0
2b-c = 0

Pivot: Row 1 ↔ Row 2
1.5a-b = 0
a+b+c = 7700
2b-c = 0

Row 2 - 1/1.5 · Row 1 → Row 2
1.5a-b = 0
1.667b+c = 7700
2b-c = 0

Pivot: Row 2 ↔ Row 3
1.5a-b = 0
2b-c = 0
1.667b+c = 7700

Row 3 - 1.66666667/2 · Row 2 → Row 3
1.5a-b = 0
2b-c = 0
1.833c = 7700


c = 7700/1.83333333 = 4200
b = 0+c/2 = 0+4200/2 = 2100
a = 0+b/1.5 = 0+2100/1.5 = 1400

a = 1400
b = 2100
c = 4200


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