Linear Equation Calculator

Enter equation

a+b+c+d=2625 b= 2a c = 2b d = 2c

Solution:

a+b+c+d=2625
b=2a
c =2b
d =2c

a+b+c+d=2625
b=2·a
c =2·b
d =2·c

a+b+c+d = 2625
2a-b = 0
2b-c = 0
2c-d = 0

Pivot: Row 1 ↔ Row 2
2a-b = 0
a+b+c+d = 2625
2b-c = 0
2c-d = 0

Row 2 - 1/2 · Row 1 → Row 2
2a-b = 0
1.5b+c+d = 2625
2b-c = 0
2c-d = 0

Pivot: Row 2 ↔ Row 3
2a-b = 0
2b-c = 0
1.5b+c+d = 2625
2c-d = 0

Row 3 - 1.5/2 · Row 2 → Row 3
2a-b = 0
2b-c = 0
1.75c+d = 2625
2c-d = 0

Pivot: Row 3 ↔ Row 4
2a-b = 0
2b-c = 0
2c-d = 0
1.75c+d = 2625

Row 4 - 1.75/2 · Row 3 → Row 4
2a-b = 0
2b-c = 0
2c-d = 0
1.875d = 2625


d = 2625/1.875 = 1400
c = 0+d/2 = 0+1400/2 = 700
b = 0+c/2 = 0+700/2 = 350
a = 0+b/2 = 0+350/2 = 175

a = 175
b = 350
c = 700
d = 1400


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