100A - B = 150 100A + 3B - C = 150 100A + 3B + 3C - D = 0 100A + 3B + 3C + 3D - E = 0 100A + 3B + 3C + 3D + 3E - F = 0 B + C + D + E + F = 50

Mathematics

语言：中文 Language:English

Equations

Fold

Unary equation

Multivariate equation

Math OP

Unfold

Linear algebra

Unfold

Derivative function

Function image

Hot issues

On line solution of multivariate equations：
First set the elements of the equation (i.e. the number of unknowns), then click the "Next" button to enter the coefficients of each element of the equation set, and click the "Next" button to obtain the solution of the equation set.
Note that the coefficients of each element of the equation system can only be numbers, not algebraic expressions (including mathematical functions).

Current location：Equations > Multivariate equations > Answer

detailed information：
The input equation set is:

100

-1

150

(1)

100

-1

150

(2)

100

-1

(3)

100

-1

(4)

100

-1

(5)

(6)

Question solving process:

Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

100

-1

(3)

100

-1

(4)

100

-1

(5)

(6)

Subtract both sides of equation (1) from both sides of equation (3) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

100

-1

(4)

100

-1

(5)

(6)

Subtract both sides of equation (1) from both sides of equation (4) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

-150

(4)

100

-1

(5)

(6)

Subtract both sides of equation (1) from both sides of equation (5) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

-150

(4)

-1

-150

(5)

(6)

Subtract both sides of equation (2) from both sides of equation (3) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

-150

(4)

-1

-150

(5)

(6)

Subtract both sides of equation (2) from both sides of equation (4) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

-150

(4)

-1

-150

(5)

(6)

Subtract both sides of equation (2) from both sides of equation (5) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

-150

(4)

-1

-150

(5)

(6)

Divide the two sides of equation (2) by 4, the equation can be obtained:

(7)

, then subtract both sides of equation (7) from both sides of equation (6), the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

-150

(4)

-1

-150

(5)

(6)

Subtract both sides of equation (3) from both sides of equation (4) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

(4)

-1

-150

(5)

(6)

Subtract both sides of equation (3) from both sides of equation (5) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

(4)

-1

(5)

(6)

Multiply both sides of equation (3) by 5
Divide the two sides of equation (3) by 16, the equation can be obtained:

375

(8)

, then subtract both sides of equation (8) from both sides of equation (6), the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

(4)

-1

(5)

775

(6)

Subtract both sides of equation (4) from both sides of equation (5) ,the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

(4)

-1

(5)

775

(6)

Multiply both sides of equation (4) by 21
Divide the two sides of equation (4) by 64, the equation can be obtained:

(9)

, then subtract both sides of equation (9) from both sides of equation (6), the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

(4)

-1

(5)

775

(6)

Multiply both sides of equation (5) by 85
Divide the two sides of equation (5) by 256, the equation can be obtained:

256

(10)

, then subtract both sides of equation (10) from both sides of equation (6), the equations are reduced to:

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

(4)

-1

(5)

341

256

775

(6)

Multiply both sides of equation (6) by 256
Divide both sides of equation (6) by 341, get the equation：

24800

341

(11)

, then add the two sides of equation (11) to both sides of equation (5), get the equation：

100

-1

150

(1)

-1

(2)

-1

-150

(3)

-1

(4)

24800

341

(5)

341

256

775

(6)

Divide both sides of equation (5) by 4, get the equation：

6200

341

(12)

, then add the two sides of equation (12) to both sides of equation (4), get the equation：

100

-1

150

(1)

-1

(2)

-1

-150

(3)

6200

341

(4)

24800

341

(5)

24800

341

(6)

Divide both sides of equation (4) by 4, get the equation：

1550

341

(13)

, then add the two sides of equation (13) to both sides of equation (3), get the equation：

100

-1

150

(1)

-1

(2)

49600

341

(3)

6200

341

(4)

6200

341

(5)

24800

341

(6)

Divide both sides of equation (3) by 4, get the equation：

12400

341

(14)

, then add the two sides of equation (14) to both sides of equation (2), get the equation：

100

-1

150

(1)

12400

341

(2)

49600

341

(3)

1550

341

(4)

6200

341

(5)

24800

341

(6)

Divide both sides of equation (2) by 4, get the equation：

3100

341

(15)

, then add the two sides of equation (15) to both sides of equation (1), get the equation：

100

48050

341

(1)

12400

341

(2)

12400

341

(3)

1550

341

(4)

6200

341

(5)

24800

341

(6)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：

961

682

(1)

3100

341

(2)

12400

341

(3)

1550

341

(4)

6200

341

(5)

24800

341

(6)

Therefore, the solution of the equation set is:

A =

961

682

B =

3100

341

C =

12400

341

D =

1550

341

E =

6200

341

F =

24800

341

Convert the solution of the equation set to decimals:

A =

1.409091

B =

-9.090909

C =

-36.363636

D =

4.545455

E =

18.181818

F =

72.727273

解方程组的详细方法请参阅：《多元一次方程组的解法》

return

New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。